8/7 - 1/5 as a fraction

Learn how to find what is 8/7 minus 1/5 in fraction form just in a few minutes. We have covered the easiest method to write 8/7 - 1/5 as a fraction and decimal.

Summary: 8/7 minus 1/5 = 33/35
Since both fractions have unequal denominators, 8/7 minus 1/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/7 and fraction 1/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 5. 35 is the LCM of 7 and 5. Multiplying the LCM 35 with the numerators and denominators of both fractions (8/7 x 35/35) - (1/5 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 8/7 is 40/35 and for 1/5 is 7/35. By simplifying this fraction subtraction 40/35 - 7/35, it becomes 33/35.

Pie Chart Representation: 8/7 - 1/5 = 33/35

CALCULATION: 8/7 - 1/5 as a fraction
8/7 - 1/5 = (?)
8/7 - 1/5 = [(8 x 5) - (1 x 7)]/(7 x 5)
= (40 - 7)/35
= 33/35
8/7 - 1/5 = 33/35
8/7 minus 1/5 as a fraction is 33/35.

where
8/7 is a improper fraction as a minuend,
1/5 is a proper fraction as a subtrahend,
33/35 is the difference between 8/7 and 1/5.

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8/7 minus 1/5 as a decimal
8/7 - 1/5 = 33/35
33/35 = 0.9429
(8/7) - (1/5) as a decimal is 0.9429

where
0.9429 is the difference between 8/7 and 1/5.

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

(8/7) - (1/5) using LCM Method:
What is 8/7 minus 1/5 as a fraction?

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

What to be found?
(8/7) - (1/5) = ?
Find what's the difference between 8/7 and 1/5.

step 2 Compare the denominators of fractions 8/7 and 1/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/7 and 1/5 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 8/7 and 1/5:
The LCM of 7 and 5 is 35.

step 4 Write the fractions 8/7 and 1/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/7 - 1/5
= [(8 x 35)/(7 x 35)] - [(1 x 35)/(5 x 35)]

step 5 Simplify the expression to have common denominator:
= 40/35 - 7/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (40/1 - 7/1)
= 1/35 x (40 - 7)

step 7Simplify the above expression further:
= 1/35 x 33
= 33/35
8/7 - 1/5 = 33/35

Hence,
8/7 minus 1/5 as a fraction is 33/35.

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

What to be found?
(8/7)-(1/5) = ?
Find what's the difference between 8/7 and 1/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 5), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
= (8 x 5) - (1 x 7)/(7 x 5)

step 3 Simplify and rewrite the fraction:
= (40 - 7)/35
8/7 - 1/5 = 33/35

Hence,
8/7 minus 1/5 in fraction is 33/35