5/7 + 7/10 as a fraction

Learn how to find what is 5/7 plus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 7/10 as a fraction and decimal.

Summary: 5/7 plus 7/10 = 99/70
Since both fractions have unequal denominators, 5/7 plus 7/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 7/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 10. 70 is the LCM of 7 and 10. Multiplying the LCM 70 with the numerators and denominators of both fractions (5/7 x 70/70) + (7/10 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 50/70 and for 7/10 is 49/70. By simplifying this fraction addition 50/70 + 49/70, it becomes 99/70.

CALCULATION: 5/7 + 7/10 as a fraction
5/7 + 7/10 = (?)
5/7 + 7/10 = [(5 x 10) + (7 x 7)]/(7 x 10)
= (50 + 49)/70
= 99/70
5/7 + 7/10 = 99/70
5/7 plus 7/10 as a fraction is 99/70.

where
5/7 is a proper fraction as an addend,
7/10 is a proper fraction as an addend,
99/70 is the sum of 5/7 and 7/10.

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5/7 plus 7/10 as a decimal
5/7 + 7/10 = 99/70
99/70 = 1.4143
(5/7) + (7/10) as a decimal is 1.4143

where
1.4143 is the sum of 5/7 and 7/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 7/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 7/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/7) + (7/10) using LCM Method:
What is 5/7 plus 7/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 7/10

What to be found?
(5/7) + (7/10) = ?
Find what's the sum of 5/7 and 7/10.

step 2 Compare the denominators of fractions 5/7 and 7/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 7/10 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 5/7 and 7/10:
The LCM of 7 and 10 is 70.

step 4 Write the fractions 5/7 and 7/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 + 7/10
= [(5 x 70)/(7 x 70)] + [(7 x 70)/(10 x 70)]

step 5 Simplify the expression to have common denominator:
= 50/70 + 49/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (50/1 + 49/1)
= 1/70 x (50 + 49)

step 7Simplify the above expression further:
= 1/70 x 99
= 99/70
5/7 + 7/10 = 99/70

Hence,
5/7 plus 7/10 as a fraction is 99/70.

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5/7 + 7/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 7/10

What to be found?
(5/7)+(7/10) = ?
Find what's the sum of 5/7 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 10), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 10) and rewrite the equation as like the below:
= (5 x 10) + (7 x 7)/(7 x 10)

step 3 Simplify and rewrite the fraction:
= (50 + 49)/70
5/7 + 7/10 = 99/70

Hence,
5/7 plus 7/10 in fraction is 99/70