13/5 + 7/4 as a fraction

Learn how to find what is 13/5 plus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 7/4 as a fraction and decimal.

Summary: 13/5 plus 7/4 = 87/20
Since both fractions have unequal denominators, 13/5 plus 7/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 7/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 4. 20 is the LCM of 5 and 4. Multiplying the LCM 20 with the numerators and denominators of both fractions (13/5 x 20/20) + (7/4 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 52/20 and for 7/4 is 35/20. By simplifying this fraction addition 52/20 + 35/20, it becomes 87/20.

CALCULATION: 13/5 + 7/4 as a fraction
13/5 + 7/4 = (?)
13/5 + 7/4 = [(13 x 4) + (7 x 5)]/(5 x 4)
= (52 + 35)/20
= 87/20
13/5 + 7/4 = 87/20
13/5 plus 7/4 as a fraction is 87/20.

where
13/5 is a improper fraction as an addend,
7/4 is a improper fraction as an addend,
87/20 is the sum of 13/5 and 7/4.

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13/5 plus 7/4 as a decimal
13/5 + 7/4 = 87/20
87/20 = 4.35
(13/5) + (7/4) as a decimal is 4.35

where
4.35 is the sum of 13/5 and 7/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 7/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/5 plus 7/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (7/4) using LCM Method:
What is 13/5 plus 7/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 7/4

What to be found?
(13/5) + (7/4) = ?
Find what's the sum of 13/5 and 7/4.

step 2 Compare the denominators of fractions 13/5 and 7/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/5 and 7/4 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 7/4:
The LCM of 5 and 4 is 20.

step 4 Write the fractions 13/5 and 7/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 + 7/4
= [(13 x 20)/(5 x 20)] + [(7 x 20)/(4 x 20)]

step 5 Simplify the expression to have common denominator:
= 52/20 + 35/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (52/1 + 35/1)
= 1/20 x (52 + 35)

step 7Simplify the above expression further:
= 1/20 x 87
= 87/20
13/5 + 7/4 = 87/20

Hence,
13/5 plus 7/4 as a fraction is 87/20.

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13/5 + 7/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 7/4

What to be found?
(13/5)+(7/4) = ?
Find what's the sum of 13/5 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 4), find the product of numerator of Fraction B and denominator of Fraction A (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 4) and rewrite the equation as like the below:
= (13 x 4) + (7 x 5)/(5 x 4)

step 3 Simplify and rewrite the fraction:
= (52 + 35)/20
13/5 + 7/4 = 87/20

Hence,
13/5 plus 7/4 in fraction is 87/20