13/5 + 6/7 as a fraction

Learn how to find what is 13/5 plus 6/7 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 6/7 as a fraction and decimal.

Summary: 13/5 plus 6/7 = 121/35
Since both fractions have unequal denominators, 13/5 plus 6/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 6/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 7. 35 is the LCM of 5 and 7. Multiplying the LCM 35 with the numerators and denominators of both fractions (13/5 x 35/35) + (6/7 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 91/35 and for 6/7 is 30/35. By simplifying this fraction addition 91/35 + 30/35, it becomes 121/35.

CALCULATION: 13/5 + 6/7 as a fraction
13/5 + 6/7 = (?)
13/5 + 6/7 = [(13 x 7) + (6 x 5)]/(5 x 7)
= (91 + 30)/35
= 121/35
13/5 + 6/7 = 121/35
13/5 plus 6/7 as a fraction is 121/35.

where
13/5 is a improper fraction as an addend,
6/7 is a proper fraction as an addend,
121/35 is the sum of 13/5 and 6/7.

---

13/5 plus 6/7 as a decimal
13/5 + 6/7 = 121/35
121/35 = 3.4571
(13/5) + (6/7) as a decimal is 3.4571

where
3.4571 is the sum of 13/5 and 6/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 6/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/5 plus 6/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (6/7) using LCM Method:
What is 13/5 plus 6/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 6/7

What to be found?
(13/5) + (6/7) = ?
Find what's the sum of 13/5 and 6/7.

step 2 Compare the denominators of fractions 13/5 and 6/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/5 and 6/7 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 13/5 and 6/7:
The LCM of 5 and 7 is 35.

step 4 Write the fractions 13/5 and 6/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 + 6/7
= [(13 x 35)/(5 x 35)] + [(6 x 35)/(7 x 35)]

step 5 Simplify the expression to have common denominator:
= 91/35 + 30/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (91/1 + 30/1)
= 1/35 x (91 + 30)

step 7Simplify the above expression further:
= 1/35 x 121
= 121/35
13/5 + 6/7 = 121/35

Hence,
13/5 plus 6/7 as a fraction is 121/35.

---

13/5 + 6/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 6/7

What to be found?
(13/5)+(6/7) = ?
Find what's the sum of 13/5 and 6/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 7), find the product of numerator of Fraction B and denominator of Fraction A (6 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 7) and rewrite the equation as like the below:
= (13 x 7) + (6 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (91 + 30)/35
13/5 + 6/7 = 121/35

Hence,
13/5 plus 6/7 in fraction is 121/35