15/2 + 1/13 as a fraction

Learn how to find what is 15/2 plus 1/13 in fraction form just in a few minutes. We have covered the easiest method to write 15/2 + 1/13 as a fraction and decimal.

Summary: 15/2 plus 1/13 = 197/26
Since both fractions have unequal denominators, 15/2 plus 1/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/2 and fraction 1/13 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 (15/2 x 26/26) + (1/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 15/2 is 195/26 and for 1/13 is 2/26. By simplifying this fraction addition 195/26 + 2/26, it becomes 197/26.

CALCULATION: 15/2 + 1/13 as a fraction
15/2 + 1/13 = (?)
15/2 + 1/13 = [(15 x 13) + (1 x 2)]/(2 x 13)
= (195 + 2)/26
= 197/26
15/2 + 1/13 = 197/26
15/2 plus 1/13 as a fraction is 197/26.

where
15/2 is a improper fraction as an addend,
1/13 is a proper fraction as an addend,
197/26 is the sum of 15/2 and 1/13.

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15/2 plus 1/13 as a decimal
15/2 + 1/13 = 197/26
197/26 = 7.5769
(15/2) + (1/13) as a decimal is 7.5769

where
7.5769 is the sum of 15/2 and 1/13.

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

(15/2) + (1/13) using LCM Method:
What is 15/2 plus 1/13 as a fraction?

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

What to be found?
(15/2) + (1/13) = ?
Find what's the sum of 15/2 and 1/13.

step 2 Compare the denominators of fractions 15/2 and 1/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/2 and 1/13 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 15/2 and 1/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 15/2 and 1/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/2 + 1/13
= [(15 x 26)/(2 x 26)] + [(1 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 195/26 + 2/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (195/1 + 2/1)
= 1/26 x (195 + 2)

step 7Simplify the above expression further:
= 1/26 x 197
= 197/26
15/2 + 1/13 = 197/26

Hence,
15/2 plus 1/13 as a fraction is 197/26.

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

What to be found?
(15/2)+(1/13) = ?
Find what's the sum of 15/2 and 1/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 13), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (15 x 13) + (1 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (195 + 2)/26
15/2 + 1/13 = 197/26

Hence,
15/2 plus 1/13 in fraction is 197/26