6/7 + 3/5 as a fraction

Learn how to find what is 6/7 plus 3/5 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 3/5 as a fraction and decimal.

Summary: 6/7 plus 3/5 = 51/35
Since both fractions have unequal denominators, 6/7 plus 3/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 3/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 5. 35 is the LCM of 7 and 5. Multiplying the LCM 35 with the numerators and denominators of both fractions (6/7 x 35/35) + (3/5 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 30/35 and for 3/5 is 21/35. By simplifying this fraction addition 30/35 + 21/35, it becomes 51/35.

CALCULATION: 6/7 + 3/5 as a fraction
6/7 + 3/5 = (?)
6/7 + 3/5 = [(6 x 5) + (3 x 7)]/(7 x 5)
= (30 + 21)/35
= 51/35
6/7 + 3/5 = 51/35
6/7 plus 3/5 as a fraction is 51/35.

where
6/7 is a proper fraction as an addend,
3/5 is a proper fraction as an addend,
51/35 is the sum of 6/7 and 3/5.

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6/7 plus 3/5 as a decimal
6/7 + 3/5 = 51/35
51/35 = 1.4571
(6/7) + (3/5) as a decimal is 1.4571

where
1.4571 is the sum of 6/7 and 3/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 3/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/7 plus 3/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/7) + (3/5) using LCM Method:
What is 6/7 plus 3/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 3/5

What to be found?
(6/7) + (3/5) = ?
Find what's the sum of 6/7 and 3/5.

step 2 Compare the denominators of fractions 6/7 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 3/5 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 3/5:
The LCM of 7 and 5 is 35.

step 4 Write the fractions 6/7 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 + 3/5
= [(6 x 35)/(7 x 35)] + [(3 x 35)/(5 x 35)]

step 5 Simplify the expression to have common denominator:
= 30/35 + 21/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (30/1 + 21/1)
= 1/35 x (30 + 21)

step 7Simplify the above expression further:
= 1/35 x 51
= 51/35
6/7 + 3/5 = 51/35

Hence,
6/7 plus 3/5 as a fraction is 51/35.

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6/7 + 3/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 3/5

What to be found?
(6/7)+(3/5) = ?
Find what's the sum of 6/7 and 3/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 5), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
= (6 x 5) + (3 x 7)/(7 x 5)

step 3 Simplify and rewrite the fraction:
= (30 + 21)/35
6/7 + 3/5 = 51/35

Hence,
6/7 plus 3/5 in fraction is 51/35