What is 3 5 8 as a decimal

Convert a fraction to a decimal. Convert proper and improper fractions to decimals. Convert a ratio to a decimal. This calculator shows the steps and work to convert a fraction to a decimal number.

How to Convert a Fraction to a Decimal

In a fraction, the fraction bar means "divided by." So to find the decimal equivalent of a fraction like 1/4 you need to solve the math problem: 1 divided by 4.
1 ÷ 4 = 0.25

How to Turn a Fraction into a Division Problem

Dividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket.

The fraction 1/4 becomes 1 ÷ 4. Complete the division to convert the fraction to a decimal.

You can reduce the fraction to lowest terms first to make the long division math a bit easier. For example, 9/12 = 9 ÷ 12 = 0.75. Using long division to solve this problem by hand or in your head, reducing 9/12 = 3/4, might make the problem easier. You may even recognize that 3/4 = 0.75 because 3 quarters equals 75 cents.

Related Calculators

You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division.

If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator.

To convert a decimal to a fraction see the Decimal to Fraction Calculator.

Decimal to fraction converter ►

Expand the denominator to be a power of 10.

Example #1

3/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:

Example #2

3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:

Example #3

5/8 is expanded to 625/1000 by multiplying the numerator by 125 and denominator by 125:

Method #2

1. Use calculator to divide the fraction's numerator by the denominator.
2. For mixed numbers add the integer.

Example #1

2/5 = 2÷5 = 0.4

Example #2

1 2/5 = 1+2÷5 = 1.4

Method #3

Use long division to divide the fraction's numerator by the fraction's denominator.

Example

Calculate 3/4 by long division of 3 divided by 4:

Fraction to decimal conversion table

Decimal to fraction conversion ►

See also

First, note that 3 5/8 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

3 = whole number 5 = numerator

8 = denominator

In order to convert mixed number 3 5/8 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   5 ÷ 8 = 0.625
2. Add this decimal number to the whole number of the mixed fraction
   3 + 0.625 = 3.625

The mixed number 3 5/8 converted to decimal number is therefore:
3.625

Page 2

First, note that 4 6/9 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

4 = whole number 6 = numerator

9 = denominator

In order to convert mixed number 4 6/9 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   6 ÷ 9 = 0.66666666666667
2. Add this decimal number to the whole number of the mixed fraction
   4 + 0.66666666666667 = 4.6666666666667

The mixed number 4 6/9 converted to decimal number is therefore:
4.6666666666667

Page 3

First, note that 5 7/10 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

5 = whole number 7 = numerator

10 = denominator

In order to convert mixed number 5 7/10 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   7 ÷ 10 = 0.7
2. Add this decimal number to the whole number of the mixed fraction
   5 + 0.7 = 5.7

The mixed number 5 7/10 converted to decimal number is therefore:
5.7

Page 4

First, note that 6 8/11 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

6 = whole number 8 = numerator

11 = denominator

In order to convert mixed number 6 8/11 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   8 ÷ 11 = 0.72727272727273
2. Add this decimal number to the whole number of the mixed fraction
   6 + 0.72727272727273 = 6.7272727272727

The mixed number 6 8/11 converted to decimal number is therefore:
6.7272727272727

Page 5

First, note that 7 9/12 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

7 = whole number 9 = numerator

12 = denominator

In order to convert mixed number 7 9/12 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   9 ÷ 12 = 0.75
2. Add this decimal number to the whole number of the mixed fraction
   7 + 0.75 = 7.75

The mixed number 7 9/12 converted to decimal number is therefore:
7.75

Page 6

First, note that 8 10/13 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

8 = whole number 10 = numerator

13 = denominator

In order to convert mixed number 8 10/13 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   10 ÷ 13 = 0.76923076923077
2. Add this decimal number to the whole number of the mixed fraction
   8 + 0.76923076923077 = 8.7692307692308

The mixed number 8 10/13 converted to decimal number is therefore:
8.7692307692308

Page 7

First, note that 9 11/14 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

9 = whole number 11 = numerator

14 = denominator

In order to convert mixed number 9 11/14 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   11 ÷ 14 = 0.78571428571429
2. Add this decimal number to the whole number of the mixed fraction
   9 + 0.78571428571429 = 9.7857142857143

The mixed number 9 11/14 converted to decimal number is therefore:
9.7857142857143

Page 8

First, note that 10 12/15 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

10 = whole number 12 = numerator

15 = denominator

In order to convert mixed number 10 12/15 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   12 ÷ 15 = 0.8
2. Add this decimal number to the whole number of the mixed fraction
   10 + 0.8 = 10.8

The mixed number 10 12/15 converted to decimal number is therefore:
10.8

Page 9

First, note that 11 13/16 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

11 = whole number 13 = numerator

16 = denominator

In order to convert mixed number 11 13/16 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   13 ÷ 16 = 0.8125
2. Add this decimal number to the whole number of the mixed fraction
   11 + 0.8125 = 11.8125

The mixed number 11 13/16 converted to decimal number is therefore:
11.8125

Page 10

First, note that 12 14/17 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

12 = whole number 14 = numerator

17 = denominator

In order to convert mixed number 12 14/17 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   14 ÷ 17 = 0.82352941176471
2. Add this decimal number to the whole number of the mixed fraction
   12 + 0.82352941176471 = 12.823529411765

The mixed number 12 14/17 converted to decimal number is therefore:
12.823529411765

Page 11

First, note that 13 15/18 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

13 = whole number 15 = numerator

18 = denominator

In order to convert mixed number 13 15/18 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   15 ÷ 18 = 0.83333333333333
2. Add this decimal number to the whole number of the mixed fraction
   13 + 0.83333333333333 = 13.833333333333

The mixed number 13 15/18 converted to decimal number is therefore:
13.833333333333

Page 12

First, note that 14 16/19 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

14 = whole number 16 = numerator

19 = denominator

In order to convert mixed number 14 16/19 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   16 ÷ 19 = 0.84210526315789
2. Add this decimal number to the whole number of the mixed fraction
   14 + 0.84210526315789 = 14.842105263158

The mixed number 14 16/19 converted to decimal number is therefore:
14.842105263158

Page 13

First, note that 16 18/21 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

16 = whole number 18 = numerator

21 = denominator

In order to convert mixed number 16 18/21 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   18 ÷ 21 = 0.85714285714286
2. Add this decimal number to the whole number of the mixed fraction
   16 + 0.85714285714286 = 16.857142857143

The mixed number 16 18/21 converted to decimal number is therefore:
16.857142857143

Page 14

First, note that 17 19/22 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

17 = whole number 19 = numerator

22 = denominator

In order to convert mixed number 17 19/22 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   19 ÷ 22 = 0.86363636363636
2. Add this decimal number to the whole number of the mixed fraction
   17 + 0.86363636363636 = 17.863636363636

The mixed number 17 19/22 converted to decimal number is therefore:
17.863636363636

Page 15

First, note that 19 21/24 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

19 = whole number 21 = numerator

24 = denominator

In order to convert mixed number 19 21/24 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   21 ÷ 24 = 0.875
2. Add this decimal number to the whole number of the mixed fraction
   19 + 0.875 = 19.875

The mixed number 19 21/24 converted to decimal number is therefore:
19.875

Page 16

First, note that 21 23/26 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

21 = whole number 23 = numerator

26 = denominator

In order to convert mixed number 21 23/26 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   23 ÷ 26 = 0.88461538461538
2. Add this decimal number to the whole number of the mixed fraction
   21 + 0.88461538461538 = 21.884615384615

The mixed number 21 23/26 converted to decimal number is therefore:
21.884615384615

Page 17

First, note that 22 24/27 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

22 = whole number 24 = numerator

27 = denominator

In order to convert mixed number 22 24/27 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   24 ÷ 27 = 0.88888888888889
2. Add this decimal number to the whole number of the mixed fraction
   22 + 0.88888888888889 = 22.888888888889

The mixed number 22 24/27 converted to decimal number is therefore:
22.888888888889

Page 18

First, note that 23 25/28 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

23 = whole number 25 = numerator

28 = denominator

In order to convert mixed number 23 25/28 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   25 ÷ 28 = 0.89285714285714
2. Add this decimal number to the whole number of the mixed fraction
   23 + 0.89285714285714 = 23.892857142857

The mixed number 23 25/28 converted to decimal number is therefore:
23.892857142857

Page 19

First, note that 24 26/29 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

24 = whole number 26 = numerator

29 = denominator

In order to convert mixed number 24 26/29 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   26 ÷ 29 = 0.89655172413793
2. Add this decimal number to the whole number of the mixed fraction
   24 + 0.89655172413793 = 24.896551724138

The mixed number 24 26/29 converted to decimal number is therefore:
24.896551724138

Page 20

First, note that 27 29/32 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

27 = whole number 29 = numerator

32 = denominator

In order to convert mixed number 27 29/32 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   29 ÷ 32 = 0.90625
2. Add this decimal number to the whole number of the mixed fraction
   27 + 0.90625 = 27.90625

The mixed number 27 29/32 converted to decimal number is therefore:
27.90625

Page 21

First, note that 28 30/33 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

28 = whole number 30 = numerator

33 = denominator

In order to convert mixed number 28 30/33 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   30 ÷ 33 = 0.90909090909091
2. Add this decimal number to the whole number of the mixed fraction
   28 + 0.90909090909091 = 28.909090909091

The mixed number 28 30/33 converted to decimal number is therefore:
28.909090909091

Page 22

First, note that 29 31/34 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

29 = whole number 31 = numerator

34 = denominator

In order to convert mixed number 29 31/34 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   31 ÷ 34 = 0.91176470588235
2. Add this decimal number to the whole number of the mixed fraction
   29 + 0.91176470588235 = 29.911764705882

The mixed number 29 31/34 converted to decimal number is therefore:
29.911764705882

Page 23

First, note that 32 34/37 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

32 = whole number 34 = numerator

37 = denominator

In order to convert mixed number 32 34/37 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   34 ÷ 37 = 0.91891891891892
2. Add this decimal number to the whole number of the mixed fraction
   32 + 0.91891891891892 = 32.918918918919

The mixed number 32 34/37 converted to decimal number is therefore:
32.918918918919

Page 24

First, note that 33 35/38 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

33 = whole number 35 = numerator

38 = denominator

In order to convert mixed number 33 35/38 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   35 ÷ 38 = 0.92105263157895
2. Add this decimal number to the whole number of the mixed fraction
   33 + 0.92105263157895 = 33.921052631579

The mixed number 33 35/38 converted to decimal number is therefore:
33.921052631579

Page 25

First, note that 34 36/39 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

34 = whole number 36 = numerator

39 = denominator

In order to convert mixed number 34 36/39 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   36 ÷ 39 = 0.92307692307692
2. Add this decimal number to the whole number of the mixed fraction
   34 + 0.92307692307692 = 34.923076923077

The mixed number 34 36/39 converted to decimal number is therefore:
34.923076923077

Page 26

First, note that 35 37/40 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

35 = whole number 37 = numerator

40 = denominator

In order to convert mixed number 35 37/40 to decimal form, you follow these steps:

1. Convert the proper fraction to decimal: Divide the numerator by the denominator
   37 ÷ 40 = 0.925
2. Add this decimal number to the whole number of the mixed fraction
   35 + 0.925 = 35.925

The mixed number 35 37/40 converted to decimal number is therefore:
35.925