2/3 - 5/12 as a fraction

Learn how to find what is 2/3 minus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 5/12 as a fraction and decimal.

Summary: 2/3 minus 5/12 = 1/4
Since both fractions have unequal denominators, 2/3 minus 5/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 12. 12 is the LCM of 3 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (2/3 x 12/12) - (5/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 8/12 and for 5/12 is 5/12. By simplifying this fraction subtraction 8/12 - 5/12, it becomes 3/12.

Pie Chart Representation: 2/3 - 5/12 = 1/4

CALCULATION: 2/3 - 5/12 as a fraction
2/3 - 5/12 = (?)
2/3 - 5/12 = [(2 x 12) - (5 x 3)]/(3 x 12)
= (24 - 15)/36
= 9/36
= (9 x 1)/(9 x 4)
= 1/4
2/3 - 5/12 = 1/4
2/3 minus 5/12 as a fraction is 1/4.

where
2/3 is a proper fraction as a minuend,
5/12 is a proper fraction as a subtrahend,
1/4 is the difference between 2/3 and 5/12.

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2/3 minus 5/12 as a decimal
2/3 - 5/12 = 1/4
1/4 = 0.25
(2/3) - (5/12) as a decimal is 0.25

where
0.25 is the difference between 2/3 and 5/12.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/12 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 5/12.
1. LCM method
2. Cross multiplication method.

(2/3) - (5/12) using LCM Method:
What is 2/3 minus 5/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/12

What to be found?
(2/3) - (5/12) = ?
Find what's the difference between 2/3 and 5/12.

step 2 Compare the denominators of fractions 2/3 and 5/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 5/12 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 2/3 and 5/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 2/3 and 5/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 5/12
= [(2 x 12)/(3 x 12)] - [(5 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 8/12 - 5/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (8/1 - 5/1)
= 1/12 x (8 - 5)

step 7Simplify the above expression further:
= 1/12 x 3
= 3/12
= 1/4
2/3 - 5/12 = 1/4

Hence,
2/3 minus 5/12 as a fraction is 1/4.

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2/3 - 5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/12

What to be found?
(2/3)-(5/12) = ?
Find what's the difference between 2/3 and 5/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 12) and rewrite the equation as like the below:
= (2 x 12) - (5 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (24 - 15)/36
= 9/36
= 1/4
2/3 - 5/12 = 1/4

Hence,
2/3 minus 5/12 in fraction is 1/4