6/7 + 13/16 as a fraction

Learn how to find what is 6/7 plus 13/16 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 13/16 as a fraction and decimal.

Summary: 6/7 plus 13/16 = 187/112
Since both fractions have unequal denominators, 6/7 plus 13/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 13/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 16. 112 is the LCM of 7 and 16. Multiplying the LCM 112 with the numerators and denominators of both fractions (6/7 x 112/112) + (13/16 x 112/112), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 96/112 and for 13/16 is 91/112. By simplifying this fraction addition 96/112 + 91/112, it becomes 187/112.

CALCULATION: 6/7 + 13/16 as a fraction
6/7 + 13/16 = (?)
6/7 + 13/16 = [(6 x 16) + (13 x 7)]/(7 x 16)
= (96 + 91)/112
= 187/112
6/7 + 13/16 = 187/112
6/7 plus 13/16 as a fraction is 187/112.

where
6/7 is a proper fraction as an addend,
13/16 is a proper fraction as an addend,
187/112 is the sum of 6/7 and 13/16.

---

6/7 plus 13/16 as a decimal
6/7 + 13/16 = 187/112
187/112 = 1.6696
(6/7) + (13/16) as a decimal is 1.6696

where
1.6696 is the sum of 6/7 and 13/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 13/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/7 plus 13/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/7) + (13/16) using LCM Method:
What is 6/7 plus 13/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 13/16

What to be found?
(6/7) + (13/16) = ?
Find what's the sum of 6/7 and 13/16.

step 2 Compare the denominators of fractions 6/7 and 13/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 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 6/7 and 13/16:
The LCM of 7 and 16 is 112.

step 4 Write the fractions 6/7 and 13/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 + 13/16
= [(6 x 112)/(7 x 112)] + [(13 x 112)/(16 x 112)]

step 5 Simplify the expression to have common denominator:
= 96/112 + 91/112

step 6 Take the common values out and rewrite the above expression like the below:
= 1/112 x (96/1 + 91/1)
= 1/112 x (96 + 91)

step 7Simplify the above expression further:
= 1/112 x 187
= 187/112
6/7 + 13/16 = 187/112

Hence,
6/7 plus 13/16 as a fraction is 187/112.

---

6/7 + 13/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 13/16

What to be found?
(6/7)+(13/16) = ?
Find what's the sum of 6/7 and 13/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 16), find the product of numerator of Fraction B and denominator of Fraction A (13 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 16) and rewrite the equation as like the below:
= (6 x 16) + (13 x 7)/(7 x 16)

step 3 Simplify and rewrite the fraction:
= (96 + 91)/112
6/7 + 13/16 = 187/112

Hence,
6/7 plus 13/16 in fraction is 187/112