10/7 - 5/8 as a fraction

Learn how to find what is 10/7 minus 5/8 in fraction form just in a few minutes. We have covered the easiest method to write 10/7 - 5/8 as a fraction and decimal.

Summary: 10/7 minus 5/8 = 45/56
Since both fractions have unequal denominators, 10/7 minus 5/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 5/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 8. 56 is the LCM of 7 and 8. Multiplying the LCM 56 with the numerators and denominators of both fractions (10/7 x 56/56) - (5/8 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 80/56 and for 5/8 is 35/56. By simplifying this fraction subtraction 80/56 - 35/56, it becomes 45/56.

Pie Chart Representation: 10/7 - 5/8 = 45/56

CALCULATION: 10/7 - 5/8 as a fraction
10/7 - 5/8 = (?)
10/7 - 5/8 = [(10 x 8) - (5 x 7)]/(7 x 8)
= (80 - 35)/56
= 45/56
10/7 - 5/8 = 45/56
10/7 minus 5/8 as a fraction is 45/56.

where
10/7 is a improper fraction as a minuend,
5/8 is a proper fraction as a subtrahend,
45/56 is the difference between 10/7 and 5/8.

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10/7 minus 5/8 as a decimal
10/7 - 5/8 = 45/56
45/56 = 0.8036
(10/7) - (5/8) as a decimal is 0.8036

where
0.8036 is the difference between 10/7 and 5/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/8 from 10/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/7 minus 5/8.
1. LCM method
2. Cross multiplication method.

(10/7) - (5/8) using LCM Method:
What is 10/7 minus 5/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 5/8

What to be found?
(10/7) - (5/8) = ?
Find what's the difference between 10/7 and 5/8.

step 2 Compare the denominators of fractions 10/7 and 5/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/7 and 5/8 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 10/7 and 5/8:
The LCM of 7 and 8 is 56.

step 4 Write the fractions 10/7 and 5/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 - 5/8
= [(10 x 56)/(7 x 56)] - [(5 x 56)/(8 x 56)]

step 5 Simplify the expression to have common denominator:
= 80/56 - 35/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (80/1 - 35/1)
= 1/56 x (80 - 35)

step 7Simplify the above expression further:
= 1/56 x 45
= 45/56
10/7 - 5/8 = 45/56

Hence,
10/7 minus 5/8 as a fraction is 45/56.

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10/7 - 5/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 5/8

What to be found?
(10/7)-(5/8) = ?
Find what's the difference between 10/7 and 5/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 8) and rewrite the equation as like the below:
= (10 x 8) - (5 x 7)/(7 x 8)

step 3 Simplify and rewrite the fraction:
= (80 - 35)/56
10/7 - 5/8 = 45/56

Hence,
10/7 minus 5/8 in fraction is 45/56