13/2 + 15/14 as a fraction

Learn how to find what is 13/2 plus 15/14 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 15/14 as a fraction and decimal.

Summary: 13/2 plus 15/14 = 53/7
Since both fractions have unequal denominators, 13/2 plus 15/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 15/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 14. 14 is the LCM of 2 and 14. Multiplying the LCM 14 with the numerators and denominators of both fractions (13/2 x 14/14) + (15/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 91/14 and for 15/14 is 15/14. By simplifying this fraction addition 91/14 + 15/14, it becomes 106/14.

CALCULATION: 13/2 + 15/14 as a fraction
13/2 + 15/14 = (?)
13/2 + 15/14 = [(13 x 14) + (15 x 2)]/(2 x 14)
= (182 + 30)/28
= 212/28
= (4 x 53)/(4 x 7)
= 53/7
13/2 + 15/14 = 53/7
13/2 plus 15/14 as a fraction is 53/7.

where
13/2 is a improper fraction as an addend,
15/14 is a improper fraction as an addend,
53/7 is the sum of 13/2 and 15/14.

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13/2 plus 15/14 as a decimal
13/2 + 15/14 = 53/7
53/7 = 7.5714
(13/2) + (15/14) as a decimal is 7.5714

where
7.5714 is the sum of 13/2 and 15/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/2 and 15/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/2 plus 15/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/2) + (15/14) using LCM Method:
What is 13/2 plus 15/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 15/14

What to be found?
(13/2) + (15/14) = ?
Find what's the sum of 13/2 and 15/14.

step 2 Compare the denominators of fractions 13/2 and 15/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 15/14 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 15/14:
The LCM of 2 and 14 is 14.

step 4 Write the fractions 13/2 and 15/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 15/14
= [(13 x 14)/(2 x 14)] + [(15 x 14)/(14 x 14)]

step 5 Simplify the expression to have common denominator:
= 91/14 + 15/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (91/1 + 15/1)
= 1/14 x (91 + 15)

step 7Simplify the above expression further:
= 1/14 x 106
= 106/14
= 53/7
13/2 + 15/14 = 53/7

Hence,
13/2 plus 15/14 as a fraction is 53/7.

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13/2 + 15/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 15/14

What to be found?
(13/2)+(15/14) = ?
Find what's the sum of 13/2 and 15/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 14), find the product of numerator of Fraction B and denominator of Fraction A (15 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 14) and rewrite the equation as like the below:
= (13 x 14) + (15 x 2)/(2 x 14)

step 3 Simplify and rewrite the fraction:
= (182 + 30)/28
= 212/28
= 53/7
13/2 + 15/14 = 53/7

Hence,
13/2 plus 15/14 in fraction is 53/7