7/6 - 7/10 as a fraction

Learn how to find what is 7/6 minus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 - 7/10 as a fraction and decimal.

Summary: 7/6 minus 7/10 = 7/15
Since both fractions have unequal denominators, 7/6 minus 7/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 7/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 10. 30 is the LCM of 6 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (7/6 x 30/30) - (7/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 35/30 and for 7/10 is 21/30. By simplifying this fraction subtraction 35/30 - 21/30, it becomes 14/30.

Pie Chart Representation: 7/6 - 7/10 = 7/15

CALCULATION: 7/6 - 7/10 as a fraction
7/6 - 7/10 = (?)
7/6 - 7/10 = [(7 x 10) - (7 x 6)]/(6 x 10)
= (70 - 42)/60
= 28/60
= (4 x 7)/(4 x 15)
= 7/15
7/6 - 7/10 = 7/15
7/6 minus 7/10 as a fraction is 7/15.

where
7/6 is a improper fraction as a minuend,
7/10 is a proper fraction as a subtrahend,
7/15 is the difference between 7/6 and 7/10.

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7/6 minus 7/10 as a decimal
7/6 - 7/10 = 7/15
7/15 = 0.4667
(7/6) - (7/10) as a decimal is 0.4667

where
0.4667 is the difference between 7/6 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 7/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/6 minus 7/10.
1. LCM method
2. Cross multiplication method.

(7/6) - (7/10) using LCM Method:
What is 7/6 minus 7/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 7/10

What to be found?
(7/6) - (7/10) = ?
Find what's the difference between 7/6 and 7/10.

step 2 Compare the denominators of fractions 7/6 and 7/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/6 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 7/6 and 7/10:
The LCM of 6 and 10 is 30.

step 4 Write the fractions 7/6 and 7/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 - 7/10
= [(7 x 30)/(6 x 30)] - [(7 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 35/30 - 21/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (35/1 - 21/1)
= 1/30 x (35 - 21)

step 7Simplify the above expression further:
= 1/30 x 14
= 14/30
= 7/15
7/6 - 7/10 = 7/15

Hence,
7/6 minus 7/10 as a fraction is 7/15.

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7/6 - 7/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 7/10

What to be found?
(7/6)-(7/10) = ?
Find what's the difference between 7/6 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 10), find the product of numerator of Fraction B and denominator of Fraction A (7 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 10) and rewrite the equation as like the below:
= (7 x 10) - (7 x 6)/(6 x 10)

step 3 Simplify and rewrite the fraction:
= (70 - 42)/60
= 28/60
= 7/15
7/6 - 7/10 = 7/15

Hence,
7/6 minus 7/10 in fraction is 7/15