11/7 - 1/15 as a fraction

Learn how to find what is 11/7 minus 1/15 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 - 1/15 as a fraction and decimal.

Summary: 11/7 minus 1/15 = 158/105
Since both fractions have unequal denominators, 11/7 minus 1/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/7 and fraction 1/15 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 (11/7 x 105/105) - (1/15 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 11/7 is 165/105 and for 1/15 is 7/105. By simplifying this fraction subtraction 165/105 - 7/105, it becomes 158/105.

CALCULATION: 11/7 - 1/15 as a fraction
11/7 - 1/15 = (?)
11/7 - 1/15 = [(11 x 15) - (1 x 7)]/(7 x 15)
= (165 - 7)/105
= 158/105
11/7 - 1/15 = 158/105
11/7 minus 1/15 as a fraction is 158/105.

where
11/7 is a improper fraction as a minuend,
1/15 is a proper fraction as a subtrahend,
158/105 is the difference between 11/7 and 1/15.

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11/7 minus 1/15 as a decimal
11/7 - 1/15 = 158/105
158/105 = 1.5048
(11/7) - (1/15) as a decimal is 1.5048

where
1.5048 is the difference between 11/7 and 1/15.

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

(11/7) - (1/15) using LCM Method:
What is 11/7 minus 1/15 as a fraction?

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

What to be found?
(11/7) - (1/15) = ?
Find what's the difference between 11/7 and 1/15.

step 2 Compare the denominators of fractions 11/7 and 1/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/7 and 1/15 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 11/7 and 1/15:
The LCM of 7 and 15 is 105.

step 4 Write the fractions 11/7 and 1/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/7 - 1/15
= [(11 x 105)/(7 x 105)] - [(1 x 105)/(15 x 105)]

step 5 Simplify the expression to have common denominator:
= 165/105 - 7/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (165/1 - 7/1)
= 1/105 x (165 - 7)

step 7Simplify the above expression further:
= 1/105 x 158
= 158/105
11/7 - 1/15 = 158/105

Hence,
11/7 minus 1/15 as a fraction is 158/105.

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

What to be found?
(11/7)-(1/15) = ?
Find what's the difference between 11/7 and 1/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 15), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (11 x 15) - (1 x 7)/(7 x 15)

step 3 Simplify and rewrite the fraction:
= (165 - 7)/105
11/7 - 1/15 = 158/105

Hence,
11/7 minus 1/15 in fraction is 158/105