7/3 + 13/8 as a fraction

Learn how to find what is 7/3 plus 13/8 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 + 13/8 as a fraction and decimal.

Summary: 7/3 plus 13/8 = 95/24
Since both fractions have unequal denominators, 7/3 plus 13/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 13/8 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 (7/3 x 24/24) + (13/8 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 56/24 and for 13/8 is 39/24. By simplifying this fraction addition 56/24 + 39/24, it becomes 95/24.

CALCULATION: 7/3 + 13/8 as a fraction
7/3 + 13/8 = (?)
7/3 + 13/8 = [(7 x 8) + (13 x 3)]/(3 x 8)
= (56 + 39)/24
= 95/24
7/3 + 13/8 = 95/24
7/3 plus 13/8 as a fraction is 95/24.

where
7/3 is a improper fraction as an addend,
13/8 is a improper fraction as an addend,
95/24 is the sum of 7/3 and 13/8.

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7/3 plus 13/8 as a decimal
7/3 + 13/8 = 95/24
95/24 = 3.9583
(7/3) + (13/8) as a decimal is 3.9583

where
3.9583 is the sum of 7/3 and 13/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/3 and 13/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/3 plus 13/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/3) + (13/8) using LCM Method:
What is 7/3 plus 13/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 13/8

What to be found?
(7/3) + (13/8) = ?
Find what's the sum of 7/3 and 13/8.

step 2 Compare the denominators of fractions 7/3 and 13/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/3 and 13/8 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 7/3 and 13/8:
The LCM of 3 and 8 is 24.

step 4 Write the fractions 7/3 and 13/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 + 13/8
= [(7 x 24)/(3 x 24)] + [(13 x 24)/(8 x 24)]

step 5 Simplify the expression to have common denominator:
= 56/24 + 39/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (56/1 + 39/1)
= 1/24 x (56 + 39)

step 7Simplify the above expression further:
= 1/24 x 95
= 95/24
7/3 + 13/8 = 95/24

Hence,
7/3 plus 13/8 as a fraction is 95/24.

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7/3 + 13/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 13/8

What to be found?
(7/3)+(13/8) = ?
Find what's the sum of 7/3 and 13/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 8), 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 8) and rewrite the equation as like the below:
= (7 x 8) + (13 x 3)/(3 x 8)

step 3 Simplify and rewrite the fraction:
= (56 + 39)/24
7/3 + 13/8 = 95/24

Hence,
7/3 plus 13/8 in fraction is 95/24