3/7 - 10 as a fraction

Learn how to find what is 3/7 minus 10 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 - 10 as a fraction and decimal.

Summary: 3/7 minus 10 = -67/7
Since both fractions have unequal denominators, 3/7 minus 10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 10 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 (3/7 x 7/7) - (10 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 3/7 and for 10 is 70/7. By simplifying this fraction subtraction 3/7 - 70/7, it becomes -67/7.

CALCULATION: 3/7 - 10 as a fraction
3/7 - 10 = (?)
3/7 - 10/1 = [(3 x 1) - (10 x 7)]/(7 x 1)
= (3 - 70)/7
= -67/7
3/7 - 10 = -67/7
3/7 minus 10 as a fraction is -67/7.

where
3/7 is a proper fraction as a minuend,
10 is a whole number as a subtrahend,
-67/7 is the difference between 3/7 and 10.

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3/7 minus 10 as a decimal
3/7 - 10 = -67/7
-67/7 = -9.5714
(3/7) - (10) as a decimal is -9.5714

where
-9.5714 is the difference between 3/7 and 10.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 10 from 3/7. use any one of the following methods to find the equivalent fraction for 3/7 minus 10.
1. LCM method
2. Cross multiplication method.

(3/7) - (10) using LCM Method:
What is 3/7 minus 10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 10/1

What to be found?
(3/7) - (10) = ?
Find what's the difference between 3/7 and 10.

step 2 Compare the denominators of fractions 3/7 and 10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/7 and 10 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 3/7 and 10:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 3/7 and 10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 - 10
= [(3 x 7)/(7 x 7)] - [(10 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 3/7 - 70/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (3/1 - 70/1)
= 1/7 x (3 - 70)

step 7Simplify the above expression further:
= 1/7 x -67
= -67/7
3/7 - 10 = -67/7

Hence,
3/7 minus 10 as a fraction is -67/7.

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3/7 - 10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 10/1

What to be found?
(3/7)-(10) = ?
Find what's the difference between 3/7 and 10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (10 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:
= (3 x 1) - (10 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (3 - 70)/7
3/7 - 10 = -67/7

Hence,
3/7 minus 10 in fraction is -67/7