3/5 + 2/7 in fraction form

Learn how to find what is 3/5 plus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 2/7 as a fraction and decimal.

Summary: 3/5 plus 2/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/5 and 2/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 35 is the LCM of 5 and 7. Multiply the LCM 35 with all the numerators and denominators of both fractions (3/5 x 35/35) + (2/7 x 35/35) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 31/35.

CALCULATION:
3/5+2/7 as a fraction
3/5 + 2/7 = (?)
3/5 + 2/7 = [(3 x 7) + (2 x 5)]/(5 x 7)
= (21 + 10)/35
= 31/35
3/5 + 2/7 = 31/35
3/5 plus 2/7 as a fraction is 31/35.

where
3/5 is a fraction as an addend,
2/7 is a fraction as an addend,
31/35 is the sum of 3/5 and 2/7.

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3/5 plus 2/7 as a decimal
3/5 + 2/7 = 31/35
31/35 = 0.8857
3/5+2/7 as a decimal is 0.8857
where
0.8857 is the sum of 3/5 and 2/7.

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

3/5+2/7 using LCM Method:
What is 3/5 plus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/7

What to be found?
3/5+2/7 = ?
Find what's the sum of 3/5 and 2/7.

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

step 4 Write the fractions 3/5 and 2/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5+2/7
=(3 x 35)/(5 x 35)+(2 x 35)/(7 x 35)

step 5 Simplify the expression to have common denominator:
=21/35+10/35

step 6 Take the common values out and rewrite the above expression like the below:
=1/35 x (21/1+10/1)
=1/35 x (21 + 10)

step 7Simplify the above expression further:
=1/35 x 31
=31/35
3/5+2/7=31/35

Hence,
3/5 plus 2/7 equals to 31/35 in fraction.

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3/5+2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/7

What to be found?
3/5+2/7 = ?
Find what's the sum of 3/5 and 2/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (3 x 7) + (2 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (21 + 10)/35
3/5+2/7 = 31/35
Hence,
3/5 plus 2/7 = 31/35