13/3 + 5/8 as a fraction

Learn how to find what is 13/3 plus 5/8 in fraction form just in a few minutes. We have covered the easiest method to write 13/3 + 5/8 as a fraction and decimal.

Summary: 13/3 plus 5/8 = 119/24
Since both fractions have unequal denominators, 13/3 plus 5/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 5/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 8. 24 is the LCM of 3 and 8. Multiplying the LCM 24 with the numerators and denominators of both fractions (13/3 x 24/24) + (5/8 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 104/24 and for 5/8 is 15/24. By simplifying this fraction addition 104/24 + 15/24, it becomes 119/24.

CALCULATION: 13/3 + 5/8 as a fraction
13/3 + 5/8 = (?)
13/3 + 5/8 = [(13 x 8) + (5 x 3)]/(3 x 8)
= (104 + 15)/24
= 119/24
13/3 + 5/8 = 119/24
13/3 plus 5/8 as a fraction is 119/24.

where
13/3 is a improper fraction as an addend,
5/8 is a proper fraction as an addend,
119/24 is the sum of 13/3 and 5/8.

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13/3 plus 5/8 as a decimal
13/3 + 5/8 = 119/24
119/24 = 4.9583
(13/3) + (5/8) as a decimal is 4.9583

where
4.9583 is the sum of 13/3 and 5/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/3 and 5/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/3 plus 5/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/3) + (5/8) using LCM Method:
What is 13/3 plus 5/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 5/8

What to be found?
(13/3) + (5/8) = ?
Find what's the sum of 13/3 and 5/8.

step 2 Compare the denominators of fractions 13/3 and 5/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/3 and 5/8 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 13/3 and 5/8:
The LCM of 3 and 8 is 24.

step 4 Write the fractions 13/3 and 5/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 + 5/8
= [(13 x 24)/(3 x 24)] + [(5 x 24)/(8 x 24)]

step 5 Simplify the expression to have common denominator:
= 104/24 + 15/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (104/1 + 15/1)
= 1/24 x (104 + 15)

step 7Simplify the above expression further:
= 1/24 x 119
= 119/24
13/3 + 5/8 = 119/24

Hence,
13/3 plus 5/8 as a fraction is 119/24.

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13/3 + 5/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 5/8

What to be found?
(13/3)+(5/8) = ?
Find what's the sum of 13/3 and 5/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 8) and rewrite the equation as like the below:
= (13 x 8) + (5 x 3)/(3 x 8)

step 3 Simplify and rewrite the fraction:
= (104 + 15)/24
13/3 + 5/8 = 119/24

Hence,
13/3 plus 5/8 in fraction is 119/24