17/5 - 11 as a fraction

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

Summary: 17/5 minus 11 = -38/5
Since both fractions have unequal denominators, 17/5 minus 11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/5 and fraction 11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (17/5 x 5/5) - (11 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 17/5 and for 11 is 55/5. By simplifying this fraction subtraction 17/5 - 55/5, it becomes -38/5.

CALCULATION: 17/5 - 11 as a fraction
17/5 - 11 = (?)
17/5 - 11/1 = [(17 x 1) - (11 x 5)]/(5 x 1)
= (17 - 55)/5
= -38/5
17/5 - 11 = -38/5
17/5 minus 11 as a fraction is -38/5.

where
17/5 is a improper fraction as a minuend,
11 is a whole number as a subtrahend,
-38/5 is the difference between 17/5 and 11.

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17/5 minus 11 as a decimal
17/5 - 11 = -38/5
-38/5 = -7.6
(17/5) - (11) as a decimal is -7.6

where
-7.6 is the difference between 17/5 and 11.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 11 from 17/5. use any one of the following methods to find the equivalent fraction for 17/5 minus 11.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 17/5 and 11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/5 and 11 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 17/5 and 11:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 17/5 and 11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 - 11
= [(17 x 5)/(5 x 5)] - [(11 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 17/5 - 55/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (17/1 - 55/1)
= 1/5 x (17 - 55)

step 7Simplify the above expression further:
= 1/5 x -38
= -38/5
17/5 - 11 = -38/5

Hence,
17/5 minus 11 as a fraction is -38/5.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 1), find the product of numerator of Fraction B and denominator of Fraction A (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (17 x 1) - (11 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (17 - 55)/5
17/5 - 11 = -38/5

Hence,
17/5 minus 11 in fraction is -38/5