13/2 + 11/17 as a fraction

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

Summary: 13/2 plus 11/17 = 243/34
Since both fractions have unequal denominators, 13/2 plus 11/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 11/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 17. 34 is the LCM of 2 and 17. Multiplying the LCM 34 with the numerators and denominators of both fractions (13/2 x 34/34) + (11/17 x 34/34), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 221/34 and for 11/17 is 22/34. By simplifying this fraction addition 221/34 + 22/34, it becomes 243/34.

CALCULATION: 13/2 + 11/17 as a fraction
13/2 + 11/17 = (?)
13/2 + 11/17 = [(13 x 17) + (11 x 2)]/(2 x 17)
= (221 + 22)/34
= 243/34
13/2 + 11/17 = 243/34
13/2 plus 11/17 as a fraction is 243/34.

where
13/2 is a improper fraction as an addend,
11/17 is a proper fraction as an addend,
243/34 is the sum of 13/2 and 11/17.

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13/2 plus 11/17 as a decimal
13/2 + 11/17 = 243/34
243/34 = 7.1471
(13/2) + (11/17) as a decimal is 7.1471

where
7.1471 is the sum of 13/2 and 11/17.

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

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

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

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

step 2 Compare the denominators of fractions 13/2 and 11/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 11/17 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 13/2 and 11/17:
The LCM of 2 and 17 is 34.

step 4 Write the fractions 13/2 and 11/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 11/17
= [(13 x 34)/(2 x 34)] + [(11 x 34)/(17 x 34)]

step 5 Simplify the expression to have common denominator:
= 221/34 + 22/34

step 6 Take the common values out and rewrite the above expression like the below:
= 1/34 x (221/1 + 22/1)
= 1/34 x (221 + 22)

step 7Simplify the above expression further:
= 1/34 x 243
= 243/34
13/2 + 11/17 = 243/34

Hence,
13/2 plus 11/17 as a fraction is 243/34.

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

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

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

step 3 Simplify and rewrite the fraction:
= (221 + 22)/34
13/2 + 11/17 = 243/34

Hence,
13/2 plus 11/17 in fraction is 243/34