5/8 - 3/2 as a fraction

Learn how to find what is 5/8 minus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 - 3/2 as a fraction and decimal.

Summary: 5/8 minus 3/2 = -7/8
Since both fractions have unequal denominators, 5/8 minus 3/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/8 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 (5/8 x 8/8) - (3/2 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 5/8 and for 3/2 is 12/8. By simplifying this fraction subtraction 5/8 - 12/8, it becomes -7/8.

CALCULATION: 5/8 - 3/2 as a fraction
5/8 - 3/2 = (?)
5/8 - 3/2 = [(5 x 2) - (3 x 8)]/(8 x 2)
= (10 - 24)/16
= -14/16
= (2 x -7)/(2 x 8)
= -7/8
5/8 - 3/2 = -7/8
5/8 minus 3/2 as a fraction is -7/8.

where
5/8 is a proper fraction as a minuend,
3/2 is a improper fraction as a subtrahend,
-7/8 is the difference between 5/8 and 3/2.

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5/8 minus 3/2 as a decimal
5/8 - 3/2 = -7/8
-7/8 = -0.875
(5/8) - (3/2) as a decimal is -0.875

where
-0.875 is the difference between 5/8 and 3/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/2 from 5/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/8 minus 3/2.
1. LCM method
2. Cross multiplication method.

(5/8) - (3/2) using LCM Method:
What is 5/8 minus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/2

What to be found?
(5/8) - (3/2) = ?
Find what's the difference between 5/8 and 3/2.

step 2 Compare the denominators of fractions 5/8 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 3/2 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 5/8 and 3/2:
The LCM of 8 and 2 is 8.

step 4 Write the fractions 5/8 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 - 3/2
= [(5 x 8)/(8 x 8)] - [(3 x 8)/(2 x 8)]

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

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (5/1 - 12/1)
= 1/8 x (5 - 12)

step 7Simplify the above expression further:
= 1/8 x -7
= -7/8
5/8 - 3/2 = -7/8

Hence,
5/8 minus 3/2 as a fraction is -7/8.

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5/8 - 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/2

What to be found?
(5/8)-(3/2) = ?
Find what's the difference between 5/8 and 3/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 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:
= (5 x 2) - (3 x 8)/(8 x 2)

step 3 Simplify and rewrite the fraction:
= (10 - 24)/16
= -14/16
= -7/8
5/8 - 3/2 = -7/8

Hence,
5/8 minus 3/2 in fraction is -7/8