5/8 - 3/5 as a fraction

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

Summary: 5/8 minus 3/5 = 1/40
Since both fractions have unequal denominators, 5/8 minus 3/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 3/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 5. 40 is the LCM of 8 and 5. Multiplying the LCM 40 with the numerators and denominators of both fractions (5/8 x 40/40) - (3/5 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 25/40 and for 3/5 is 24/40. By simplifying this fraction subtraction 25/40 - 24/40, it becomes 1/40.

Pie Chart Representation: 5/8 - 3/5 = 1/40

CALCULATION: 5/8 - 3/5 as a fraction
5/8 - 3/5 = (?)
5/8 - 3/5 = [(5 x 5) - (3 x 8)]/(8 x 5)
= (25 - 24)/40
= 1/40
5/8 - 3/5 = 1/40
5/8 minus 3/5 as a fraction is 1/40.

where
5/8 is a proper fraction as a minuend,
3/5 is a proper fraction as a subtrahend,
1/40 is the difference between 5/8 and 3/5.

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5/8 minus 3/5 as a decimal
5/8 - 3/5 = 1/40
1/40 = 0.025
(5/8) - (3/5) as a decimal is 0.025

where
0.025 is the difference between 5/8 and 3/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/5 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 3/5.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 5/8 and 3/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 3/5 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 3/5:
The LCM of 8 and 5 is 40.

step 4 Write the fractions 5/8 and 3/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 - 3/5
= [(5 x 40)/(8 x 40)] - [(3 x 40)/(5 x 40)]

step 5 Simplify the expression to have common denominator:
= 25/40 - 24/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (25/1 - 24/1)
= 1/40 x (25 - 24)

step 7Simplify the above expression further:
= 1/40 x 1
= 1/40
5/8 - 3/5 = 1/40

Hence,
5/8 minus 3/5 as a fraction is 1/40.

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

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

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

step 3 Simplify and rewrite the fraction:
= (25 - 24)/40
5/8 - 3/5 = 1/40

Hence,
5/8 minus 3/5 in fraction is 1/40