3/8 - 5/7 as a fraction

Learn how to find what is 3/8 minus 5/7 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 - 5/7 as a fraction and decimal.

Summary: 3/8 minus 5/7 = -19/56
Since both fractions have unequal denominators, 3/8 minus 5/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 5/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 7. 56 is the LCM of 8 and 7. Multiplying the LCM 56 with the numerators and denominators of both fractions (3/8 x 56/56) - (5/7 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 21/56 and for 5/7 is 40/56. By simplifying this fraction subtraction 21/56 - 40/56, it becomes -19/56.

CALCULATION: 3/8 - 5/7 as a fraction
3/8 - 5/7 = (?)
3/8 - 5/7 = [(3 x 7) - (5 x 8)]/(8 x 7)
= (21 - 40)/56
= -19/56
3/8 - 5/7 = -19/56
3/8 minus 5/7 as a fraction is -19/56.

where
3/8 is a proper fraction as a minuend,
5/7 is a proper fraction as a subtrahend,
-19/56 is the difference between 3/8 and 5/7.

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3/8 minus 5/7 as a decimal
3/8 - 5/7 = -19/56
-19/56 = -0.3393
(3/8) - (5/7) as a decimal is -0.3393

where
-0.3393 is the difference between 3/8 and 5/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/7 from 3/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/8 minus 5/7.
1. LCM method
2. Cross multiplication method.

(3/8) - (5/7) using LCM Method:
What is 3/8 minus 5/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 5/7

What to be found?
(3/8) - (5/7) = ?
Find what's the difference between 3/8 and 5/7.

step 2 Compare the denominators of fractions 3/8 and 5/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 and 5/7 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 3/8 and 5/7:
The LCM of 8 and 7 is 56.

step 4 Write the fractions 3/8 and 5/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 - 5/7
= [(3 x 56)/(8 x 56)] - [(5 x 56)/(7 x 56)]

step 5 Simplify the expression to have common denominator:
= 21/56 - 40/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (21/1 - 40/1)
= 1/56 x (21 - 40)

step 7Simplify the above expression further:
= 1/56 x -19
= -19/56
3/8 - 5/7 = -19/56

Hence,
3/8 minus 5/7 as a fraction is -19/56.

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3/8 - 5/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 5/7

What to be found?
(3/8)-(5/7) = ?
Find what's the difference between 3/8 and 5/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 7), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (3 x 7) - (5 x 8)/(8 x 7)

step 3 Simplify and rewrite the fraction:
= (21 - 40)/56
3/8 - 5/7 = -19/56

Hence,
3/8 minus 5/7 in fraction is -19/56