10/7 - 7 as a fraction

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

Summary: 10/7 minus 7 = -39/7
Since both fractions have unequal denominators, 10/7 minus 7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (10/7 x 7/7) - (7 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 10/7 and for 7 is 49/7. By simplifying this fraction subtraction 10/7 - 49/7, it becomes -39/7.

CALCULATION: 10/7 - 7 as a fraction
10/7 - 7 = (?)
10/7 - 7/1 = [(10 x 1) - (7 x 7)]/(7 x 1)
= (10 - 49)/7
= -39/7
10/7 - 7 = -39/7
10/7 minus 7 as a fraction is -39/7.

where
10/7 is a improper fraction as a minuend,
7 is a whole number as a subtrahend,
-39/7 is the difference between 10/7 and 7.

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10/7 minus 7 as a decimal
10/7 - 7 = -39/7
-39/7 = -5.5714
(10/7) - (7) as a decimal is -5.5714

where
-5.5714 is the difference between 10/7 and 7.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 7 from 10/7. use any one of the following methods to find the equivalent fraction for 10/7 minus 7.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 10/7 and 7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/7 and 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 10/7 and 7:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 10/7 and 7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 - 7
= [(10 x 7)/(7 x 7)] - [(7 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 10/7 - 49/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (10/1 - 49/1)
= 1/7 x (10 - 49)

step 7Simplify the above expression further:
= 1/7 x -39
= -39/7
10/7 - 7 = -39/7

Hence,
10/7 minus 7 as a fraction is -39/7.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 1), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (10 x 1) - (7 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (10 - 49)/7
10/7 - 7 = -39/7

Hence,
10/7 minus 7 in fraction is -39/7