13/5 + 5 as a fraction

Learn how to find what is 13/5 plus 5 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 5 as a fraction and decimal.

Summary: 13/5 plus 5 = 38/5
Since both fractions have unequal denominators, 13/5 plus 5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (13/5 x 5/5) + (5 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 13/5 and for 5 is 25/5. By simplifying this fraction addition 13/5 + 25/5, it becomes 38/5.

CALCULATION: 13/5 + 5 as a fraction
13/5 + 5 = (?)
13/5 + 5/1 = [(13 x 1) + (5 x 5)]/(5 x 1)
= (13 + 25)/5
= 38/5
13/5 + 5 = 38/5
13/5 plus 5 as a fraction is 38/5.

where
13/5 is a improper fraction as an addend,
5 is a whole number as an addend,
38/5 is the sum of 13/5 and 5.

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13/5 plus 5 as a decimal
13/5 + 5 = 38/5
38/5 = 7.6
(13/5) + (5) as a decimal is 7.6

where
7.6 is the sum of 13/5 and 5.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 5 by adding fraction to a whole number . The sum in fraction form for 13/5 plus 5/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (5) using LCM Method:
What is 13/5 plus 5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 5/1

What to be found?
(13/5) + (5) = ?
Find what's the sum of 13/5 and 5.

step 2 Compare the denominators of fractions 13/5 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/5 and 5 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 13/5 and 5:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 13/5 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 + 5
= [(13 x 5)/(5 x 5)] + [(5 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 13/5 + 25/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (13/1 + 25/1)
= 1/5 x (13 + 25)

step 7Simplify the above expression further:
= 1/5 x 38
= 38/5
13/5 + 5 = 38/5

Hence,
13/5 plus 5 as a fraction is 38/5.

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13/5 + 5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 5/1

What to be found?
(13/5)+(5) = ?
Find what's the sum of 13/5 and 5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (13 x 1) + (5 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (13 + 25)/5
13/5 + 5 = 38/5

Hence,
13/5 plus 5 in fraction is 38/5