11/5 + 7/8 as a fraction

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

Summary: 11/5 plus 7/8 = 123/40
Since both fractions have unequal denominators, 11/5 plus 7/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/5 and fraction 7/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 8. 40 is the LCM of 5 and 8. Multiplying the LCM 40 with the numerators and denominators of both fractions (11/5 x 40/40) + (7/8 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 11/5 is 88/40 and for 7/8 is 35/40. By simplifying this fraction addition 88/40 + 35/40, it becomes 123/40.

CALCULATION: 11/5 + 7/8 as a fraction
11/5 + 7/8 = (?)
11/5 + 7/8 = [(11 x 8) + (7 x 5)]/(5 x 8)
= (88 + 35)/40
= 123/40
11/5 + 7/8 = 123/40
11/5 plus 7/8 as a fraction is 123/40.

where
11/5 is a improper fraction as an addend,
7/8 is a proper fraction as an addend,
123/40 is the sum of 11/5 and 7/8.

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11/5 plus 7/8 as a decimal
11/5 + 7/8 = 123/40
123/40 = 3.075
(11/5) + (7/8) as a decimal is 3.075

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

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

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

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

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

step 2 Compare the denominators of fractions 11/5 and 7/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/5 and 7/8 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 11/5 and 7/8:
The LCM of 5 and 8 is 40.

step 4 Write the fractions 11/5 and 7/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/5 + 7/8
= [(11 x 40)/(5 x 40)] + [(7 x 40)/(8 x 40)]

step 5 Simplify the expression to have common denominator:
= 88/40 + 35/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (88/1 + 35/1)
= 1/40 x (88 + 35)

step 7Simplify the above expression further:
= 1/40 x 123
= 123/40
11/5 + 7/8 = 123/40

Hence,
11/5 plus 7/8 as a fraction is 123/40.

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

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

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

step 3 Simplify and rewrite the fraction:
= (88 + 35)/40
11/5 + 7/8 = 123/40

Hence,
11/5 plus 7/8 in fraction is 123/40