4/5 - 10/7 as a fraction

Learn how to find what is 4/5 minus 10/7 in fraction form just in a few minutes. We have covered the easiest method to write 4/5 - 10/7 as a fraction and decimal.

Summary: 4/5 minus 10/7 = -22/35
Since both fractions have unequal denominators, 4/5 minus 10/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/5 and fraction 10/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 7. 35 is the LCM of 5 and 7. Multiplying the LCM 35 with the numerators and denominators of both fractions (4/5 x 35/35) - (10/7 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 4/5 is 28/35 and for 10/7 is 50/35. By simplifying this fraction subtraction 28/35 - 50/35, it becomes -22/35.

CALCULATION: 4/5 - 10/7 as a fraction
4/5 - 10/7 = (?)
4/5 - 10/7 = [(4 x 7) - (10 x 5)]/(5 x 7)
= (28 - 50)/35
= -22/35
4/5 - 10/7 = -22/35
4/5 minus 10/7 as a fraction is -22/35.

where
4/5 is a proper fraction as a minuend,
10/7 is a improper fraction as a subtrahend,
-22/35 is the difference between 4/5 and 10/7.

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4/5 minus 10/7 as a decimal
4/5 - 10/7 = -22/35
-22/35 = -0.6286
(4/5) - (10/7) as a decimal is -0.6286

where
-0.6286 is the difference between 4/5 and 10/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/7 from 4/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/5 minus 10/7.
1. LCM method
2. Cross multiplication method.

(4/5) - (10/7) using LCM Method:
What is 4/5 minus 10/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 10/7

What to be found?
(4/5) - (10/7) = ?
Find what's the difference between 4/5 and 10/7.

step 2 Compare the denominators of fractions 4/5 and 10/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/5 and 10/7 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 4/5 and 10/7:
The LCM of 5 and 7 is 35.

step 4 Write the fractions 4/5 and 10/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/5 - 10/7
= [(4 x 35)/(5 x 35)] - [(10 x 35)/(7 x 35)]

step 5 Simplify the expression to have common denominator:
= 28/35 - 50/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (28/1 - 50/1)
= 1/35 x (28 - 50)

step 7Simplify the above expression further:
= 1/35 x -22
= -22/35
4/5 - 10/7 = -22/35

Hence,
4/5 minus 10/7 as a fraction is -22/35.

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4/5 - 10/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 10/7

What to be found?
(4/5)-(10/7) = ?
Find what's the difference between 4/5 and 10/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 7), find the product of numerator of Fraction B and denominator of Fraction A (10 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 7) and rewrite the equation as like the below:
= (4 x 7) - (10 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (28 - 50)/35
4/5 - 10/7 = -22/35

Hence,
4/5 minus 10/7 in fraction is -22/35