3/5 + 1/7 as a fraction

Learn how to find what is 3/5 plus 1/7 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 1/7 as a fraction and decimal.

Summary: 3/5 plus 1/7 = 26/35
Since both fractions have unequal denominators, 3/5 plus 1/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 1/7 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 (3/5 x 35/35) + (1/7 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 21/35 and for 1/7 is 5/35. By simplifying this fraction addition 21/35 + 5/35, it becomes 26/35.

Pie Chart Representation: 3/5 + 1/7 = 26/35

CALCULATION: 3/5 + 1/7 as a fraction
3/5 + 1/7 = (?)
3/5 + 1/7 = [(3 x 7) + (1 x 5)]/(5 x 7)
= (21 + 5)/35
= 26/35
3/5 + 1/7 = 26/35
3/5 plus 1/7 as a fraction is 26/35.

where
3/5 is a proper fraction as an addend,
1/7 is a proper fraction as an addend,
26/35 is the sum of 3/5 and 1/7.

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3/5 plus 1/7 as a decimal
3/5 + 1/7 = 26/35
26/35 = 0.7429
(3/5) + (1/7) as a decimal is 0.7429

where
0.7429 is the sum of 3/5 and 1/7.

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

(3/5) + (1/7) using LCM Method:
What is 3/5 plus 1/7 as a fraction?

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

What to be found?
(3/5) + (1/7) = ?
Find what's the sum of 3/5 and 1/7.

step 2 Compare the denominators of fractions 3/5 and 1/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 1/7 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 1/7:
The LCM of 5 and 7 is 35.

step 4 Write the fractions 3/5 and 1/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 + 1/7
= [(3 x 35)/(5 x 35)] + [(1 x 35)/(7 x 35)]

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

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (21/1 + 5/1)
= 1/35 x (21 + 5)

step 7Simplify the above expression further:
= 1/35 x 26
= 26/35
3/5 + 1/7 = 26/35

Hence,
3/5 plus 1/7 as a fraction is 26/35.

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

What to be found?
(3/5)+(1/7) = ?
Find what's the sum of 3/5 and 1/7.

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 (1 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) + (1 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (21 + 5)/35
3/5 + 1/7 = 26/35

Hence,
3/5 plus 1/7 in fraction is 26/35