4/3 + 13/20 as a fraction

Learn how to find what is 4/3 plus 13/20 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 + 13/20 as a fraction and decimal.

Summary: 4/3 plus 13/20 = 119/60
Since both fractions have unequal denominators, 4/3 plus 13/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 13/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 20. 60 is the LCM of 3 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (4/3 x 60/60) + (13/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 80/60 and for 13/20 is 39/60. By simplifying this fraction addition 80/60 + 39/60, it becomes 119/60.

CALCULATION: 4/3 + 13/20 as a fraction
4/3 + 13/20 = (?)
4/3 + 13/20 = [(4 x 20) + (13 x 3)]/(3 x 20)
= (80 + 39)/60
= 119/60
4/3 + 13/20 = 119/60
4/3 plus 13/20 as a fraction is 119/60.

where
4/3 is a improper fraction as an addend,
13/20 is a proper fraction as an addend,
119/60 is the sum of 4/3 and 13/20.

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4/3 plus 13/20 as a decimal
4/3 + 13/20 = 119/60
119/60 = 1.9833
(4/3) + (13/20) as a decimal is 1.9833

where
1.9833 is the sum of 4/3 and 13/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/3 and 13/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/3 plus 13/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/3) + (13/20) using LCM Method:
What is 4/3 plus 13/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 13/20

What to be found?
(4/3) + (13/20) = ?
Find what's the sum of 4/3 and 13/20.

step 2 Compare the denominators of fractions 4/3 and 13/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/3 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 4/3 and 13/20:
The LCM of 3 and 20 is 60.

step 4 Write the fractions 4/3 and 13/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 + 13/20
= [(4 x 60)/(3 x 60)] + [(13 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 80/60 + 39/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (80/1 + 39/1)
= 1/60 x (80 + 39)

step 7Simplify the above expression further:
= 1/60 x 119
= 119/60
4/3 + 13/20 = 119/60

Hence,
4/3 plus 13/20 as a fraction is 119/60.

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4/3 + 13/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 13/20

What to be found?
(4/3)+(13/20) = ?
Find what's the sum of 4/3 and 13/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 20), find the product of numerator of Fraction B and denominator of Fraction A (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 20) and rewrite the equation as like the below:
= (4 x 20) + (13 x 3)/(3 x 20)

step 3 Simplify and rewrite the fraction:
= (80 + 39)/60
4/3 + 13/20 = 119/60

Hence,
4/3 plus 13/20 in fraction is 119/60