7/8 + 13/16 as a fraction

Learn how to find what is 7/8 plus 13/16 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 13/16 as a fraction and decimal.

Summary: 7/8 plus 13/16 = 27/16
Since both fractions have unequal denominators, 7/8 plus 13/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 13/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 16. 16 is the LCM of 8 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (7/8 x 16/16) + (13/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 14/16 and for 13/16 is 13/16. By simplifying this fraction addition 14/16 + 13/16, it becomes 27/16.

CALCULATION: 7/8 + 13/16 as a fraction
7/8 + 13/16 = (?)
7/8 + 13/16 = [(7 x 16) + (13 x 8)]/(8 x 16)
= (112 + 104)/128
= 216/128
= (8 x 27)/(8 x 16)
= 27/16
7/8 + 13/16 = 27/16
7/8 plus 13/16 as a fraction is 27/16.

where
7/8 is a proper fraction as an addend,
13/16 is a proper fraction as an addend,
27/16 is the sum of 7/8 and 13/16.

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7/8 plus 13/16 as a decimal
7/8 + 13/16 = 27/16
27/16 = 1.6875
(7/8) + (13/16) as a decimal is 1.6875

where
1.6875 is the sum of 7/8 and 13/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 13/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/8 plus 13/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/8) + (13/16) using LCM Method:
What is 7/8 plus 13/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 13/16

What to be found?
(7/8) + (13/16) = ?
Find what's the sum of 7/8 and 13/16.

step 2 Compare the denominators of fractions 7/8 and 13/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 13/16 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 13/16:
The LCM of 8 and 16 is 16.

step 4 Write the fractions 7/8 and 13/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 13/16
= [(7 x 16)/(8 x 16)] + [(13 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 14/16 + 13/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (14/1 + 13/1)
= 1/16 x (14 + 13)

step 7Simplify the above expression further:
= 1/16 x 27
= 27/16
7/8 + 13/16 = 27/16

Hence,
7/8 plus 13/16 as a fraction is 27/16.

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7/8 + 13/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 13/16

What to be found?
(7/8)+(13/16) = ?
Find what's the sum of 7/8 and 13/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 16), find the product of numerator of Fraction B and denominator of Fraction A (13 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 16) and rewrite the equation as like the below:
= (7 x 16) + (13 x 8)/(8 x 16)

step 3 Simplify and rewrite the fraction:
= (112 + 104)/128
= 216/128
= 27/16
7/8 + 13/16 = 27/16

Hence,
7/8 plus 13/16 in fraction is 27/16