11/7 + 13 as a fraction

Learn how to find what is 11/7 plus 13 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 + 13 as a fraction and decimal.

Summary: 11/7 plus 13 = 102/7
Since both fractions have unequal denominators, 11/7 plus 13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/7 and fraction 13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (11/7 x 7/7) + (13 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 11/7 is 11/7 and for 13 is 91/7. By simplifying this fraction addition 11/7 + 91/7, it becomes 102/7.

CALCULATION: 11/7 + 13 as a fraction
11/7 + 13 = (?)
11/7 + 13/1 = [(11 x 1) + (13 x 7)]/(7 x 1)
= (11 + 91)/7
= 102/7
11/7 + 13 = 102/7
11/7 plus 13 as a fraction is 102/7.

where
11/7 is a improper fraction as an addend,
13 is a whole number as an addend,
102/7 is the sum of 11/7 and 13.

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11/7 plus 13 as a decimal
11/7 + 13 = 102/7
102/7 = 14.5714
(11/7) + (13) as a decimal is 14.5714

where
14.5714 is the sum of 11/7 and 13.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/7 and 13 by adding fraction to a whole number . The sum in fraction form for 11/7 plus 13/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/7) + (13) using LCM Method:
What is 11/7 plus 13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 13/1

What to be found?
(11/7) + (13) = ?
Find what's the sum of 11/7 and 13.

step 2 Compare the denominators of fractions 11/7 and 13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/7 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 11/7 and 13:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 11/7 and 13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/7 + 13
= [(11 x 7)/(7 x 7)] + [(13 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 11/7 + 91/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (11/1 + 91/1)
= 1/7 x (11 + 91)

step 7Simplify the above expression further:
= 1/7 x 102
= 102/7
11/7 + 13 = 102/7

Hence,
11/7 plus 13 as a fraction is 102/7.

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11/7 + 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 13/1

What to be found?
(11/7)+(13) = ?
Find what's the sum of 11/7 and 13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 1), find the product of numerator of Fraction B and denominator of Fraction A (13 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (11 x 1) + (13 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (11 + 91)/7
11/7 + 13 = 102/7

Hence,
11/7 plus 13 in fraction is 102/7