11/7 + 5/8 as a fraction

Learn how to find what is 11/7 plus 5/8 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 + 5/8 as a fraction and decimal.

Summary: 11/7 plus 5/8 = 123/56
Since both fractions have unequal denominators, 11/7 plus 5/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/7 and fraction 5/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 8. 56 is the LCM of 7 and 8. Multiplying the LCM 56 with the numerators and denominators of both fractions (11/7 x 56/56) + (5/8 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 11/7 is 88/56 and for 5/8 is 35/56. By simplifying this fraction addition 88/56 + 35/56, it becomes 123/56.

CALCULATION: 11/7 + 5/8 as a fraction
11/7 + 5/8 = (?)
11/7 + 5/8 = [(11 x 8) + (5 x 7)]/(7 x 8)
= (88 + 35)/56
= 123/56
11/7 + 5/8 = 123/56
11/7 plus 5/8 as a fraction is 123/56.

where
11/7 is a improper fraction as an addend,
5/8 is a proper fraction as an addend,
123/56 is the sum of 11/7 and 5/8.

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11/7 plus 5/8 as a decimal
11/7 + 5/8 = 123/56
123/56 = 2.1964
(11/7) + (5/8) as a decimal is 2.1964

where
2.1964 is the sum of 11/7 and 5/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/7 and 5/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/7 plus 5/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/7) + (5/8) using LCM Method:
What is 11/7 plus 5/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 5/8

What to be found?
(11/7) + (5/8) = ?
Find what's the sum of 11/7 and 5/8.

step 2 Compare the denominators of fractions 11/7 and 5/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/7 and 5/8 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 11/7 and 5/8:
The LCM of 7 and 8 is 56.

step 4 Write the fractions 11/7 and 5/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/7 + 5/8
= [(11 x 56)/(7 x 56)] + [(5 x 56)/(8 x 56)]

step 5 Simplify the expression to have common denominator:
= 88/56 + 35/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (88/1 + 35/1)
= 1/56 x (88 + 35)

step 7Simplify the above expression further:
= 1/56 x 123
= 123/56
11/7 + 5/8 = 123/56

Hence,
11/7 plus 5/8 as a fraction is 123/56.

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11/7 + 5/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 5/8

What to be found?
(11/7)+(5/8) = ?
Find what's the sum of 11/7 and 5/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 8) and rewrite the equation as like the below:
= (11 x 8) + (5 x 7)/(7 x 8)

step 3 Simplify and rewrite the fraction:
= (88 + 35)/56
11/7 + 5/8 = 123/56

Hence,
11/7 plus 5/8 in fraction is 123/56