3/5 - 7/10 as a fraction

Learn how to find what is 3/5 minus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 7/10 as a fraction and decimal.

Summary: 3/5 minus 7/10 = -1/10
Since both fractions have unequal denominators, 3/5 minus 7/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 7/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 10. 10 is the LCM of 5 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (3/5 x 10/10) - (7/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 6/10 and for 7/10 is 7/10. By simplifying this fraction subtraction 6/10 - 7/10, it becomes -1/10.

CALCULATION: 3/5 - 7/10 as a fraction
3/5 - 7/10 = (?)
3/5 - 7/10 = [(3 x 10) - (7 x 5)]/(5 x 10)
= (30 - 35)/50
= -5/50
= (5 x -1)/(5 x 10)
= -1/10
3/5 - 7/10 = -1/10
3/5 minus 7/10 as a fraction is -1/10.

where
3/5 is a proper fraction as a minuend,
7/10 is a proper fraction as a subtrahend,
-1/10 is the difference between 3/5 and 7/10.

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3/5 minus 7/10 as a decimal
3/5 - 7/10 = -1/10
-1/10 = -0.1
(3/5) - (7/10) as a decimal is -0.1

where
-0.1 is the difference between 3/5 and 7/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/10 from 3/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/5 minus 7/10.
1. LCM method
2. Cross multiplication method.

(3/5) - (7/10) using LCM Method:
What is 3/5 minus 7/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 7/10

What to be found?
(3/5) - (7/10) = ?
Find what's the difference between 3/5 and 7/10.

step 2 Compare the denominators of fractions 3/5 and 7/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 7/10 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 3/5 and 7/10:
The LCM of 5 and 10 is 10.

step 4 Write the fractions 3/5 and 7/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 7/10
= [(3 x 10)/(5 x 10)] - [(7 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 6/10 - 7/10

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

step 7Simplify the above expression further:
= 1/10 x -1
= -1/10
3/5 - 7/10 = -1/10

Hence,
3/5 minus 7/10 as a fraction is -1/10.

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3/5 - 7/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 7/10

What to be found?
(3/5)-(7/10) = ?
Find what's the difference between 3/5 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
= (3 x 10) - (7 x 5)/(5 x 10)

step 3 Simplify and rewrite the fraction:
= (30 - 35)/50
= -5/50
= -1/10
3/5 - 7/10 = -1/10

Hence,
3/5 minus 7/10 in fraction is -1/10