11/5 - 15/17 as a fraction

Learn how to find what is 11/5 minus 15/17 in fraction form just in a few minutes. We have covered the easiest method to write 11/5 - 15/17 as a fraction and decimal.

Summary: 11/5 minus 15/17 = 112/85
Since both fractions have unequal denominators, 11/5 minus 15/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/5 and fraction 15/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 17. 85 is the LCM of 5 and 17. Multiplying the LCM 85 with the numerators and denominators of both fractions (11/5 x 85/85) - (15/17 x 85/85), and simplify further in order to have the common denominator. So the equivalent fraction for 11/5 is 187/85 and for 15/17 is 75/85. By simplifying this fraction subtraction 187/85 - 75/85, it becomes 112/85.

CALCULATION: 11/5 - 15/17 as a fraction
11/5 - 15/17 = (?)
11/5 - 15/17 = [(11 x 17) - (15 x 5)]/(5 x 17)
= (187 - 75)/85
= 112/85
11/5 - 15/17 = 112/85
11/5 minus 15/17 as a fraction is 112/85.

where
11/5 is a improper fraction as a minuend,
15/17 is a proper fraction as a subtrahend,
112/85 is the difference between 11/5 and 15/17.

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11/5 minus 15/17 as a decimal
11/5 - 15/17 = 112/85
112/85 = 1.3176
(11/5) - (15/17) as a decimal is 1.3176

where
1.3176 is the difference between 11/5 and 15/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/17 from 11/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/5 minus 15/17.
1. LCM method
2. Cross multiplication method.

(11/5) - (15/17) using LCM Method:
What is 11/5 minus 15/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 15/17

What to be found?
(11/5) - (15/17) = ?
Find what's the difference between 11/5 and 15/17.

step 2 Compare the denominators of fractions 11/5 and 15/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/5 and 15/17 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 11/5 and 15/17:
The LCM of 5 and 17 is 85.

step 4 Write the fractions 11/5 and 15/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/5 - 15/17
= [(11 x 85)/(5 x 85)] - [(15 x 85)/(17 x 85)]

step 5 Simplify the expression to have common denominator:
= 187/85 - 75/85

step 6 Take the common values out and rewrite the above expression like the below:
= 1/85 x (187/1 - 75/1)
= 1/85 x (187 - 75)

step 7Simplify the above expression further:
= 1/85 x 112
= 112/85
11/5 - 15/17 = 112/85

Hence,
11/5 minus 15/17 as a fraction is 112/85.

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11/5 - 15/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 15/17

What to be found?
(11/5)-(15/17) = ?
Find what's the difference between 11/5 and 15/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 17), find the product of numerator of Fraction B and denominator of Fraction A (15 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 17) and rewrite the equation as like the below:
= (11 x 17) - (15 x 5)/(5 x 17)

step 3 Simplify and rewrite the fraction:
= (187 - 75)/85
11/5 - 15/17 = 112/85

Hence,
11/5 minus 15/17 in fraction is 112/85