5/7 - 11/15 as a fraction

Learn how to find what is 5/7 minus 11/15 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 - 11/15 as a fraction and decimal.

Summary: 5/7 minus 11/15 = -2/105
Since both fractions have unequal denominators, 5/7 minus 11/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 11/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 15. 105 is the LCM of 7 and 15. Multiplying the LCM 105 with the numerators and denominators of both fractions (5/7 x 105/105) - (11/15 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 75/105 and for 11/15 is 77/105. By simplifying this fraction subtraction 75/105 - 77/105, it becomes -2/105.

CALCULATION: 5/7 - 11/15 as a fraction
5/7 - 11/15 = (?)
5/7 - 11/15 = [(5 x 15) - (11 x 7)]/(7 x 15)
= (75 - 77)/105
= -2/105
5/7 - 11/15 = -2/105
5/7 minus 11/15 as a fraction is -2/105.

where
5/7 is a proper fraction as a minuend,
11/15 is a proper fraction as a subtrahend,
-2/105 is the difference between 5/7 and 11/15.

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5/7 minus 11/15 as a decimal
5/7 - 11/15 = -2/105
-2/105 = -0.019
(5/7) - (11/15) as a decimal is -0.019

where
-0.019 is the difference between 5/7 and 11/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/15 from 5/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/7 minus 11/15.
1. LCM method
2. Cross multiplication method.

(5/7) - (11/15) using LCM Method:
What is 5/7 minus 11/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 11/15

What to be found?
(5/7) - (11/15) = ?
Find what's the difference between 5/7 and 11/15.

step 2 Compare the denominators of fractions 5/7 and 11/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/7 and 11/15 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 5/7 and 11/15:
The LCM of 7 and 15 is 105.

step 4 Write the fractions 5/7 and 11/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 - 11/15
= [(5 x 105)/(7 x 105)] - [(11 x 105)/(15 x 105)]

step 5 Simplify the expression to have common denominator:
= 75/105 - 77/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (75/1 - 77/1)
= 1/105 x (75 - 77)

step 7Simplify the above expression further:
= 1/105 x -2
= -2/105
5/7 - 11/15 = -2/105

Hence,
5/7 minus 11/15 as a fraction is -2/105.

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5/7 - 11/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 11/15

What to be found?
(5/7)-(11/15) = ?
Find what's the difference between 5/7 and 11/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 15), find the product of numerator of Fraction B and denominator of Fraction A (11 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 15) and rewrite the equation as like the below:
= (5 x 15) - (11 x 7)/(7 x 15)

step 3 Simplify and rewrite the fraction:
= (75 - 77)/105
5/7 - 11/15 = -2/105

Hence,
5/7 minus 11/15 in fraction is -2/105