5/1 + 13/5 as a fraction

Learn how to find what is 5/1 plus 13/5 in fraction form just in a few minutes. We have covered the easiest method to write 5/1 + 13/5 as a fraction and decimal.

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

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

where
5/1 is a improper fraction as an addend,
13/5 is a improper fraction as an addend,
38/5 is the sum of 5/1 and 13/5.

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5/1 plus 13/5 as a decimal
5/1 + 13/5 = 38/5
38/5 = 7.6
(5/1) + (13/5) as a decimal is 7.6

where
7.6 is the sum of 5/1 and 13/5.

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

(5/1) + (13/5) using LCM Method:
What is 5/1 plus 13/5 as a fraction?

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

What to be found?
(5/1) + (13/5) = ?
Find what's the sum of 5/1 and 13/5.

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

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

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

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

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

Hence,
5/1 plus 13/5 as a fraction is 38/5.

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

What to be found?
(5/1)+(13/5) = ?
Find what's the sum of 5/1 and 13/5.

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

step 3 Simplify and rewrite the fraction:
= (25 + 13)/5
5/1 + 13/5 = 38/5

Hence,
5/1 plus 13/5 in fraction is 38/5