What is 5/12 + 1/4 as a fraction

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We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 5 by 4, and get 20.

Then we multiply 1 by 12, and get 12.

Next we give both terms new denominators -- 12 × 4 = 48.

So now our fractions look like this:

Page 2

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

Spelled result in words is five thirds (or one and two thirds).

How do we solve fractions step by step?

Divide: 5/12 : 1/4 = 5/12 · 4/1 = 5 · 4/12 · 1 = 20/12 = 4 · 5 /4 · 3 = 5/3
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/4 is 4/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 4 gives 5/3.
In other words - five twelfths divided by one quarter is five thirds.

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and

fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

$What is 5/12 + 1/4 as a fraction$

5/12 - 1/4 as a fraction provides the detailed information about what is 5/12 minus 1/4 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

5/12-1/4 equals to

5/12 - 1/4 = (?)

5/12 - 1/4 = [(5 x 4) - (1 x 12)]/(12 x 4)

= (20 - 12)/48 = 8/48 = (8 x 1)/(8 x 6) = 1/65/12 - 1/4 = 1/6

5/12 minus 1/4 is equal to 1/6

where

5/12 is a fraction as a minuend, 1/4 is a fraction as a subtrahend, 1/6 is the difference between 5/12 and 1/4.

5/12 minus 1/4 as a decimal

5/12 - 1/4 = 1/6

1/6 = 0.1667

5/12-1/4 as a decimal is 0.1667
where0.1667 is the difference between 5/12 and 1/4.

The below workout with step by step calculation shows how to find what is 5/12 minus 1/4 in simplest form by using the following methods: 1. LCM method, 2. Cross multiplication method.

Problem and Workout - LCM Method: What is 5/12 minus 1/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/12
Fraction B: 1/4

What to be found?

5/12-1/4 = ?
Find what's the difference between 5/12 and 1/4.

step 2 Compare the denominators of fractions 5/12 and 1/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/12 and 1/4 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 5/12 and 1/4:
The LCM of 12 and 4 is 12.

step 4 Write the fractions 5/12 and 1/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/12-1/4
=(5 x 12)/(12 x 12)-(1 x 12)/(4 x 12)

step 5 Simplify the expression to have common denominator:
=5/12-3/12

step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (5/1-3/1)
=1/12 x (5 - 3)

step 7Simplify the above expression further:
=1/12 x 2
= 2/12
=1/6
5/12-1/4=1/6 Hence,

5/12 minus 1/4 equals to 1/6 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/12
Fraction B: 1/4

What to be found?

5/12-1/4 = ? Find what's the difference between 5/12 and 1/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 12), and find the product of both denominators of Fraction A and Fraction B (12 x 4) and rewrite the equation as like the below:

= (5 x 4) - (1 x 12)/(12 x 4)

step 3 Simplify and rewrite the fraction:

= (20 - 12)/48
= 8/48
= 1/6
5/12-1/4 = 1/6Hence,

5/12 minus 1/4 = 1/6