10/7 + 14/13 as a fraction

Learn how to find what is 10/7 plus 14/13 in fraction form just in a few minutes. We have covered the easiest method to write 10/7 + 14/13 as a fraction and decimal.

Summary: 10/7 plus 14/13 = 228/91
Since both fractions have unequal denominators, 10/7 plus 14/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 14/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 13. 91 is the LCM of 7 and 13. Multiplying the LCM 91 with the numerators and denominators of both fractions (10/7 x 91/91) + (14/13 x 91/91), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 130/91 and for 14/13 is 98/91. By simplifying this fraction addition 130/91 + 98/91, it becomes 228/91.

CALCULATION: 10/7 + 14/13 as a fraction
10/7 + 14/13 = (?)
10/7 + 14/13 = [(10 x 13) + (14 x 7)]/(7 x 13)
= (130 + 98)/91
= 228/91
10/7 + 14/13 = 228/91
10/7 plus 14/13 as a fraction is 228/91.

where
10/7 is a improper fraction as an addend,
14/13 is a improper fraction as an addend,
228/91 is the sum of 10/7 and 14/13.

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10/7 plus 14/13 as a decimal
10/7 + 14/13 = 228/91
228/91 = 2.5055
(10/7) + (14/13) as a decimal is 2.5055

where
2.5055 is the sum of 10/7 and 14/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/7 and 14/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/7 plus 14/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/7) + (14/13) using LCM Method:
What is 10/7 plus 14/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 14/13

What to be found?
(10/7) + (14/13) = ?
Find what's the sum of 10/7 and 14/13.

step 2 Compare the denominators of fractions 10/7 and 14/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/7 and 14/13 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 10/7 and 14/13:
The LCM of 7 and 13 is 91.

step 4 Write the fractions 10/7 and 14/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 + 14/13
= [(10 x 91)/(7 x 91)] + [(14 x 91)/(13 x 91)]

step 5 Simplify the expression to have common denominator:
= 130/91 + 98/91

step 6 Take the common values out and rewrite the above expression like the below:
= 1/91 x (130/1 + 98/1)
= 1/91 x (130 + 98)

step 7Simplify the above expression further:
= 1/91 x 228
= 228/91
10/7 + 14/13 = 228/91

Hence,
10/7 plus 14/13 as a fraction is 228/91.

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10/7 + 14/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 14/13

What to be found?
(10/7)+(14/13) = ?
Find what's the sum of 10/7 and 14/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 13), find the product of numerator of Fraction B and denominator of Fraction A (14 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 13) and rewrite the equation as like the below:
= (10 x 13) + (14 x 7)/(7 x 13)

step 3 Simplify and rewrite the fraction:
= (130 + 98)/91
10/7 + 14/13 = 228/91

Hence,
10/7 plus 14/13 in fraction is 228/91