17/6 - 5 as a fraction

Learn how to find what is 17/6 minus 5 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 - 5 as a fraction and decimal.

Summary: 17/6 minus 5 = -13/6
Since both fractions have unequal denominators, 17/6 minus 5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (17/6 x 6/6) - (5 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 17/6 and for 5 is 30/6. By simplifying this fraction subtraction 17/6 - 30/6, it becomes -13/6.

CALCULATION: 17/6 - 5 as a fraction
17/6 - 5 = (?)
17/6 - 5/1 = [(17 x 1) - (5 x 6)]/(6 x 1)
= (17 - 30)/6
= -13/6
17/6 - 5 = -13/6
17/6 minus 5 as a fraction is -13/6.

where
17/6 is a improper fraction as a minuend,
5 is a whole number as a subtrahend,
-13/6 is the difference between 17/6 and 5.

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17/6 minus 5 as a decimal
17/6 - 5 = -13/6
-13/6 = -2.1667
(17/6) - (5) as a decimal is -2.1667

where
-2.1667 is the difference between 17/6 and 5.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 5 from 17/6. use any one of the following methods to find the equivalent fraction for 17/6 minus 5.
1. LCM method
2. Cross multiplication method.

(17/6) - (5) using LCM Method:
What is 17/6 minus 5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 5/1

What to be found?
(17/6) - (5) = ?
Find what's the difference between 17/6 and 5.

step 2 Compare the denominators of fractions 17/6 and 5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/6 and 5 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 17/6 and 5:
The LCM of 6 and 1 is 6.

step 4 Write the fractions 17/6 and 5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 - 5
= [(17 x 6)/(6 x 6)] - [(5 x 6)/(1 x 6)]

step 5 Simplify the expression to have common denominator:
= 17/6 - 30/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (17/1 - 30/1)
= 1/6 x (17 - 30)

step 7Simplify the above expression further:
= 1/6 x -13
= -13/6
17/6 - 5 = -13/6

Hence,
17/6 minus 5 as a fraction is -13/6.

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17/6 - 5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 5/1

What to be found?
(17/6)-(5) = ?
Find what's the difference between 17/6 and 5.

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 (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 1) and rewrite the equation as like the below:
= (17 x 1) - (5 x 6)/(6 x 1)

step 3 Simplify and rewrite the fraction:
= (17 - 30)/6
17/6 - 5 = -13/6

Hence,
17/6 minus 5 in fraction is -13/6