10/7 - 3/2 as a fraction

Learn how to find what is 10/7 minus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 10/7 - 3/2 as a fraction and decimal.

Summary: 10/7 minus 3/2 = -1/14
Since both fractions have unequal denominators, 10/7 minus 3/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 2. 14 is the LCM of 7 and 2. Multiplying the LCM 14 with the numerators and denominators of both fractions (10/7 x 14/14) - (3/2 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 20/14 and for 3/2 is 21/14. By simplifying this fraction subtraction 20/14 - 21/14, it becomes -1/14.

CALCULATION: 10/7 - 3/2 as a fraction
10/7 - 3/2 = (?)
10/7 - 3/2 = [(10 x 2) - (3 x 7)]/(7 x 2)
= (20 - 21)/14
= -1/14
10/7 - 3/2 = -1/14
10/7 minus 3/2 as a fraction is -1/14.

where
10/7 is a improper fraction as a minuend,
3/2 is a improper fraction as a subtrahend,
-1/14 is the difference between 10/7 and 3/2.

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10/7 minus 3/2 as a decimal
10/7 - 3/2 = -1/14
-1/14 = -0.0714
(10/7) - (3/2) as a decimal is -0.0714

where
-0.0714 is the difference between 10/7 and 3/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/2 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 3/2.
1. LCM method
2. Cross multiplication method.

(10/7) - (3/2) using LCM Method:
What is 10/7 minus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 3/2

What to be found?
(10/7) - (3/2) = ?
Find what's the difference between 10/7 and 3/2.

step 2 Compare the denominators of fractions 10/7 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/7 and 3/2 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 3/2:
The LCM of 7 and 2 is 14.

step 4 Write the fractions 10/7 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 - 3/2
= [(10 x 14)/(7 x 14)] - [(3 x 14)/(2 x 14)]

step 5 Simplify the expression to have common denominator:
= 20/14 - 21/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (20/1 - 21/1)
= 1/14 x (20 - 21)

step 7Simplify the above expression further:
= 1/14 x -1
= -1/14
10/7 - 3/2 = -1/14

Hence,
10/7 minus 3/2 as a fraction is -1/14.

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10/7 - 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 3/2

What to be found?
(10/7)-(3/2) = ?
Find what's the difference between 10/7 and 3/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 2), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 2) and rewrite the equation as like the below:
= (10 x 2) - (3 x 7)/(7 x 2)

step 3 Simplify and rewrite the fraction:
= (20 - 21)/14
10/7 - 3/2 = -1/14

Hence,
10/7 minus 3/2 in fraction is -1/14