7/8 + 5/12 as a fraction

Learn how to find what is 7/8 plus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 5/12 as a fraction and decimal.

Summary: 7/8 plus 5/12 = 31/24
Since both fractions have unequal denominators, 7/8 plus 5/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 12. 24 is the LCM of 8 and 12. Multiplying the LCM 24 with the numerators and denominators of both fractions (7/8 x 24/24) + (5/12 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 21/24 and for 5/12 is 10/24. By simplifying this fraction addition 21/24 + 10/24, it becomes 31/24.

CALCULATION: 7/8 + 5/12 as a fraction
7/8 + 5/12 = (?)
7/8 + 5/12 = [(7 x 12) + (5 x 8)]/(8 x 12)
= (84 + 40)/96
= 124/96
= (4 x 31)/(4 x 24)
= 31/24
7/8 + 5/12 = 31/24
7/8 plus 5/12 as a fraction is 31/24.

where
7/8 is a proper fraction as an addend,
5/12 is a proper fraction as an addend,
31/24 is the sum of 7/8 and 5/12.

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7/8 plus 5/12 as a decimal
7/8 + 5/12 = 31/24
31/24 = 1.2917
(7/8) + (5/12) as a decimal is 1.2917

where
1.2917 is the sum of 7/8 and 5/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 5/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/8 plus 5/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/8) + (5/12) using LCM Method:
What is 7/8 plus 5/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 5/12

What to be found?
(7/8) + (5/12) = ?
Find what's the sum of 7/8 and 5/12.

step 2 Compare the denominators of fractions 7/8 and 5/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 5/12 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 7/8 and 5/12:
The LCM of 8 and 12 is 24.

step 4 Write the fractions 7/8 and 5/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 5/12
= [(7 x 24)/(8 x 24)] + [(5 x 24)/(12 x 24)]

step 5 Simplify the expression to have common denominator:
= 21/24 + 10/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (21/1 + 10/1)
= 1/24 x (21 + 10)

step 7Simplify the above expression further:
= 1/24 x 31
= 31/24
7/8 + 5/12 = 31/24

Hence,
7/8 plus 5/12 as a fraction is 31/24.

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7/8 + 5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 5/12

What to be found?
(7/8)+(5/12) = ?
Find what's the sum of 7/8 and 5/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 12) and rewrite the equation as like the below:
= (7 x 12) + (5 x 8)/(8 x 12)

step 3 Simplify and rewrite the fraction:
= (84 + 40)/96
= 124/96
= 31/24
7/8 + 5/12 = 31/24

Hence,
7/8 plus 5/12 in fraction is 31/24