13/8 + 3/2 as a fraction

Learn how to find what is 13/8 plus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 + 3/2 as a fraction and decimal.

Summary: 13/8 plus 3/2 = 25/8
Since both fractions have unequal denominators, 13/8 plus 3/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 2. 8 is the LCM of 8 and 2. Multiplying the LCM 8 with the numerators and denominators of both fractions (13/8 x 8/8) + (3/2 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 13/8 and for 3/2 is 12/8. By simplifying this fraction addition 13/8 + 12/8, it becomes 25/8.

CALCULATION: 13/8 + 3/2 as a fraction
13/8 + 3/2 = (?)
13/8 + 3/2 = [(13 x 2) + (3 x 8)]/(8 x 2)
= (26 + 24)/16
= 50/16
= (2 x 25)/(2 x 8)
= 25/8
13/8 + 3/2 = 25/8
13/8 plus 3/2 as a fraction is 25/8.

where
13/8 is a improper fraction as an addend,
3/2 is a improper fraction as an addend,
25/8 is the sum of 13/8 and 3/2.

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13/8 plus 3/2 as a decimal
13/8 + 3/2 = 25/8
25/8 = 3.125
(13/8) + (3/2) as a decimal is 3.125

where
3.125 is the sum of 13/8 and 3/2.

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

(13/8) + (3/2) using LCM Method:
What is 13/8 plus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 3/2

What to be found?
(13/8) + (3/2) = ?
Find what's the sum of 13/8 and 3/2.

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

step 4 Write the fractions 13/8 and 3/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 3/2
= [(13 x 8)/(8 x 8)] + [(3 x 8)/(2 x 8)]

step 5 Simplify the expression to have common denominator:
= 13/8 + 12/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (13/1 + 12/1)
= 1/8 x (13 + 12)

step 7Simplify the above expression further:
= 1/8 x 25
= 25/8
13/8 + 3/2 = 25/8

Hence,
13/8 plus 3/2 as a fraction is 25/8.

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13/8 + 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 3/2

What to be found?
(13/8)+(3/2) = ?
Find what's the sum of 13/8 and 3/2.

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

step 3 Simplify and rewrite the fraction:
= (26 + 24)/16
= 50/16
= 25/8
13/8 + 3/2 = 25/8

Hence,
13/8 plus 3/2 in fraction is 25/8