11/2 + 17/13 as a fraction

Learn how to find what is 11/2 plus 17/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/2 + 17/13 as a fraction and decimal.

Summary: 11/2 plus 17/13 = 177/26
Since both fractions have unequal denominators, 11/2 plus 17/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 17/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 13. 26 is the LCM of 2 and 13. Multiplying the LCM 26 with the numerators and denominators of both fractions (11/2 x 26/26) + (17/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 143/26 and for 17/13 is 34/26. By simplifying this fraction addition 143/26 + 34/26, it becomes 177/26.

CALCULATION: 11/2 + 17/13 as a fraction
11/2 + 17/13 = (?)
11/2 + 17/13 = [(11 x 13) + (17 x 2)]/(2 x 13)
= (143 + 34)/26
= 177/26
11/2 + 17/13 = 177/26
11/2 plus 17/13 as a fraction is 177/26.

where
11/2 is a improper fraction as an addend,
17/13 is a improper fraction as an addend,
177/26 is the sum of 11/2 and 17/13.

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11/2 plus 17/13 as a decimal
11/2 + 17/13 = 177/26
177/26 = 6.8077
(11/2) + (17/13) as a decimal is 6.8077

where
6.8077 is the sum of 11/2 and 17/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/2 and 17/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/2 plus 17/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/2) + (17/13) using LCM Method:
What is 11/2 plus 17/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 17/13

What to be found?
(11/2) + (17/13) = ?
Find what's the sum of 11/2 and 17/13.

step 2 Compare the denominators of fractions 11/2 and 17/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/2 and 17/13 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 11/2 and 17/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 11/2 and 17/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 + 17/13
= [(11 x 26)/(2 x 26)] + [(17 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 143/26 + 34/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (143/1 + 34/1)
= 1/26 x (143 + 34)

step 7Simplify the above expression further:
= 1/26 x 177
= 177/26
11/2 + 17/13 = 177/26

Hence,
11/2 plus 17/13 as a fraction is 177/26.

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11/2 + 17/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 17/13

What to be found?
(11/2)+(17/13) = ?
Find what's the sum of 11/2 and 17/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 13), find the product of numerator of Fraction B and denominator of Fraction A (17 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (11 x 13) + (17 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (143 + 34)/26
11/2 + 17/13 = 177/26

Hence,
11/2 plus 17/13 in fraction is 177/26