16/7 + 7/8 as a fraction

Learn how to find what is 16/7 plus 7/8 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 + 7/8 as a fraction and decimal.

Summary: 16/7 plus 7/8 = 177/56
Since both fractions have unequal denominators, 16/7 plus 7/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 7/8 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 (16/7 x 56/56) + (7/8 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 128/56 and for 7/8 is 49/56. By simplifying this fraction addition 128/56 + 49/56, it becomes 177/56.

CALCULATION: 16/7 + 7/8 as a fraction
16/7 + 7/8 = (?)
16/7 + 7/8 = [(16 x 8) + (7 x 7)]/(7 x 8)
= (128 + 49)/56
= 177/56
16/7 + 7/8 = 177/56
16/7 plus 7/8 as a fraction is 177/56.

where
16/7 is a improper fraction as an addend,
7/8 is a proper fraction as an addend,
177/56 is the sum of 16/7 and 7/8.

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16/7 plus 7/8 as a decimal
16/7 + 7/8 = 177/56
177/56 = 3.1607
(16/7) + (7/8) as a decimal is 3.1607

where
3.1607 is the sum of 16/7 and 7/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/7 and 7/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/7 plus 7/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/7) + (7/8) using LCM Method:
What is 16/7 plus 7/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 7/8

What to be found?
(16/7) + (7/8) = ?
Find what's the sum of 16/7 and 7/8.

step 2 Compare the denominators of fractions 16/7 and 7/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/7 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 16/7 and 7/8:
The LCM of 7 and 8 is 56.

step 4 Write the fractions 16/7 and 7/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 + 7/8
= [(16 x 56)/(7 x 56)] + [(7 x 56)/(8 x 56)]

step 5 Simplify the expression to have common denominator:
= 128/56 + 49/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (128/1 + 49/1)
= 1/56 x (128 + 49)

step 7Simplify the above expression further:
= 1/56 x 177
= 177/56
16/7 + 7/8 = 177/56

Hence,
16/7 plus 7/8 as a fraction is 177/56.

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16/7 + 7/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 7/8

What to be found?
(16/7)+(7/8) = ?
Find what's the sum of 16/7 and 7/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 8), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (16 x 8) + (7 x 7)/(7 x 8)

step 3 Simplify and rewrite the fraction:
= (128 + 49)/56
16/7 + 7/8 = 177/56

Hence,
16/7 plus 7/8 in fraction is 177/56