13/5 + 13/20 as a fraction

Learn how to find what is 13/5 plus 13/20 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 13/20 as a fraction and decimal.

Summary: 13/5 plus 13/20 = 13/4
Since both fractions have unequal denominators, 13/5 plus 13/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 13/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (13/5 x 20/20) + (13/20 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 13/20 is 13/20. By simplifying this fraction addition 52/20 + 13/20, it becomes 65/20.

CALCULATION: 13/5 + 13/20 as a fraction
13/5 + 13/20 = (?)
13/5 + 13/20 = [(13 x 20) + (13 x 5)]/(5 x 20)
= (260 + 65)/100
= 325/100
= (25 x 13)/(25 x 4)
= 13/4
13/5 + 13/20 = 13/4
13/5 plus 13/20 as a fraction is 13/4.

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

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13/5 plus 13/20 as a decimal
13/5 + 13/20 = 13/4
13/4 = 3.25
(13/5) + (13/20) as a decimal is 3.25

where
3.25 is the sum of 13/5 and 13/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 13/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/5 plus 13/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (13/20) using LCM Method:
What is 13/5 plus 13/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 13/20

What to be found?
(13/5) + (13/20) = ?
Find what's the sum of 13/5 and 13/20.

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

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

step 5 Simplify the expression to have common denominator:
= 52/20 + 13/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (52/1 + 13/1)
= 1/20 x (52 + 13)

step 7Simplify the above expression further:
= 1/20 x 65
= 65/20
= 13/4
13/5 + 13/20 = 13/4

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

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13/5 + 13/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 13/20

What to be found?
(13/5)+(13/20) = ?
Find what's the sum of 13/5 and 13/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 20), find the product of numerator of Fraction B and denominator of Fraction A (13 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 20) and rewrite the equation as like the below:
= (13 x 20) + (13 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (260 + 65)/100
= 325/100
= 13/4
13/5 + 13/20 = 13/4

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