17/7 + 10/13 as a fraction

Learn how to find what is 17/7 plus 10/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/7 + 10/13 as a fraction and decimal.

Summary: 17/7 plus 10/13 = 291/91
Since both fractions have unequal denominators, 17/7 plus 10/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/7 and fraction 10/13 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 (17/7 x 91/91) + (10/13 x 91/91), and simplify further in order to have the common denominator. So the equivalent fraction for 17/7 is 221/91 and for 10/13 is 70/91. By simplifying this fraction addition 221/91 + 70/91, it becomes 291/91.

CALCULATION: 17/7 + 10/13 as a fraction
17/7 + 10/13 = (?)
17/7 + 10/13 = [(17 x 13) + (10 x 7)]/(7 x 13)
= (221 + 70)/91
= 291/91
17/7 + 10/13 = 291/91
17/7 plus 10/13 as a fraction is 291/91.

where
17/7 is a improper fraction as an addend,
10/13 is a proper fraction as an addend,
291/91 is the sum of 17/7 and 10/13.

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17/7 plus 10/13 as a decimal
17/7 + 10/13 = 291/91
291/91 = 3.1978
(17/7) + (10/13) as a decimal is 3.1978

where
3.1978 is the sum of 17/7 and 10/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/7 and 10/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/7 plus 10/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/7) + (10/13) using LCM Method:
What is 17/7 plus 10/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 10/13

What to be found?
(17/7) + (10/13) = ?
Find what's the sum of 17/7 and 10/13.

step 2 Compare the denominators of fractions 17/7 and 10/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/7 and 10/13 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 17/7 and 10/13:
The LCM of 7 and 13 is 91.

step 4 Write the fractions 17/7 and 10/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/7 + 10/13
= [(17 x 91)/(7 x 91)] + [(10 x 91)/(13 x 91)]

step 5 Simplify the expression to have common denominator:
= 221/91 + 70/91

step 6 Take the common values out and rewrite the above expression like the below:
= 1/91 x (221/1 + 70/1)
= 1/91 x (221 + 70)

step 7Simplify the above expression further:
= 1/91 x 291
= 291/91
17/7 + 10/13 = 291/91

Hence,
17/7 plus 10/13 as a fraction is 291/91.

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17/7 + 10/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 10/13

What to be found?
(17/7)+(10/13) = ?
Find what's the sum of 17/7 and 10/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 13), find the product of numerator of Fraction B and denominator of Fraction A (10 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:
= (17 x 13) + (10 x 7)/(7 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 70)/91
17/7 + 10/13 = 291/91

Hence,
17/7 plus 10/13 in fraction is 291/91