10/13 + 7/20 as a fraction

Learn how to find what is 10/13 plus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 10/13 + 7/20 as a fraction and decimal.

Summary: 10/13 plus 7/20 = 291/260
Since both fractions have unequal denominators, 10/13 plus 7/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/13 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 20. 260 is the LCM of 13 and 20. Multiplying the LCM 260 with the numerators and denominators of both fractions (10/13 x 260/260) + (7/20 x 260/260), and simplify further in order to have the common denominator. So the equivalent fraction for 10/13 is 200/260 and for 7/20 is 91/260. By simplifying this fraction addition 200/260 + 91/260, it becomes 291/260.

CALCULATION: 10/13 + 7/20 as a fraction
10/13 + 7/20 = (?)
10/13 + 7/20 = [(10 x 20) + (7 x 13)]/(13 x 20)
= (200 + 91)/260
= 291/260
10/13 + 7/20 = 291/260
10/13 plus 7/20 as a fraction is 291/260.

where
10/13 is a proper fraction as an addend,
7/20 is a proper fraction as an addend,
291/260 is the sum of 10/13 and 7/20.

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10/13 plus 7/20 as a decimal
10/13 + 7/20 = 291/260
291/260 = 1.1192
(10/13) + (7/20) as a decimal is 1.1192

where
1.1192 is the sum of 10/13 and 7/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/13 and 7/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/13 plus 7/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/13) + (7/20) using LCM Method:
What is 10/13 plus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/13
Fraction B: 7/20

What to be found?
(10/13) + (7/20) = ?
Find what's the sum of 10/13 and 7/20.

step 2 Compare the denominators of fractions 10/13 and 7/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/13 and 7/20 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 10/13 and 7/20:
The LCM of 13 and 20 is 260.

step 4 Write the fractions 10/13 and 7/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/13 + 7/20
= [(10 x 260)/(13 x 260)] + [(7 x 260)/(20 x 260)]

step 5 Simplify the expression to have common denominator:
= 200/260 + 91/260

step 6 Take the common values out and rewrite the above expression like the below:
= 1/260 x (200/1 + 91/1)
= 1/260 x (200 + 91)

step 7Simplify the above expression further:
= 1/260 x 291
= 291/260
10/13 + 7/20 = 291/260

Hence,
10/13 plus 7/20 as a fraction is 291/260.

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10/13 + 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/13
Fraction B: 7/20

What to be found?
(10/13)+(7/20) = ?
Find what's the sum of 10/13 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 20) and rewrite the equation as like the below:
= (10 x 20) + (7 x 13)/(13 x 20)

step 3 Simplify and rewrite the fraction:
= (200 + 91)/260
10/13 + 7/20 = 291/260

Hence,
10/13 plus 7/20 in fraction is 291/260