15/11 + 13 as a fraction

Learn how to find what is 15/11 plus 13 in fraction form just in a few minutes. We have covered the easiest method to write 15/11 + 13 as a fraction and decimal.

Summary: 15/11 plus 13 = 158/11
Since both fractions have unequal denominators, 15/11 plus 13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/11 and fraction 13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 11 and 1. 11 is the LCM of 11 and 1. Multiplying the LCM 11 with the numerators and denominators of both fractions (15/11 x 11/11) + (13 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 15/11 is 15/11 and for 13 is 143/11. By simplifying this fraction addition 15/11 + 143/11, it becomes 158/11.

CALCULATION: 15/11 + 13 as a fraction
15/11 + 13 = (?)
15/11 + 13/1 = [(15 x 1) + (13 x 11)]/(11 x 1)
= (15 + 143)/11
= 158/11
15/11 + 13 = 158/11
15/11 plus 13 as a fraction is 158/11.

where
15/11 is a improper fraction as an addend,
13 is a whole number as an addend,
158/11 is the sum of 15/11 and 13.

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15/11 plus 13 as a decimal
15/11 + 13 = 158/11
158/11 = 14.3636
(15/11) + (13) as a decimal is 14.3636

where
14.3636 is the sum of 15/11 and 13.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/11 and 13 by adding fraction to a whole number . The sum in fraction form for 15/11 plus 13/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/11) + (13) using LCM Method:
What is 15/11 plus 13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/11
Fraction B: 13/1

What to be found?
(15/11) + (13) = ?
Find what's the sum of 15/11 and 13.

step 2 Compare the denominators of fractions 15/11 and 13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/11 and 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 15/11 and 13:
The LCM of 11 and 1 is 11.

step 4 Write the fractions 15/11 and 13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/11 + 13
= [(15 x 11)/(11 x 11)] + [(13 x 11)/(1 x 11)]

step 5 Simplify the expression to have common denominator:
= 15/11 + 143/11

step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (15/1 + 143/1)
= 1/11 x (15 + 143)

step 7Simplify the above expression further:
= 1/11 x 158
= 158/11
15/11 + 13 = 158/11

Hence,
15/11 plus 13 as a fraction is 158/11.

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15/11 + 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/11
Fraction B: 13/1

What to be found?
(15/11)+(13) = ?
Find what's the sum of 15/11 and 13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 1), find the product of numerator of Fraction B and denominator of Fraction A (13 x 11), and find the product of both denominators of Fraction A and Fraction B (11 x 1) and rewrite the equation as like the below:
= (15 x 1) + (13 x 11)/(11 x 1)

step 3 Simplify and rewrite the fraction:
= (15 + 143)/11
15/11 + 13 = 158/11

Hence,
15/11 plus 13 in fraction is 158/11