17/6 - 17/2 as a fraction

Learn how to find what is 17/6 minus 17/2 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 - 17/2 as a fraction and decimal.

Summary: 17/6 minus 17/2 = -17/3
Since both fractions have unequal denominators, 17/6 minus 17/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 17/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 2. 6 is the LCM of 6 and 2. Multiplying the LCM 6 with the numerators and denominators of both fractions (17/6 x 6/6) - (17/2 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 17/2 is 51/6. By simplifying this fraction subtraction 17/6 - 51/6, it becomes -34/6.

CALCULATION: 17/6 - 17/2 as a fraction
17/6 - 17/2 = (?)
17/6 - 17/2 = [(17 x 2) - (17 x 6)]/(6 x 2)
= (34 - 102)/12
= -68/12
= (4 x -17)/(4 x 3)
= -17/3
17/6 - 17/2 = -17/3
17/6 minus 17/2 as a fraction is -17/3.

where
17/6 is a improper fraction as a minuend,
17/2 is a improper fraction as a subtrahend,
-17/3 is the difference between 17/6 and 17/2.

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17/6 minus 17/2 as a decimal
17/6 - 17/2 = -17/3
-17/3 = -5.6667
(17/6) - (17/2) as a decimal is -5.6667

where
-5.6667 is the difference between 17/6 and 17/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/2 from 17/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/6 minus 17/2.
1. LCM method
2. Cross multiplication method.

(17/6) - (17/2) using LCM Method:
What is 17/6 minus 17/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 17/2

What to be found?
(17/6) - (17/2) = ?
Find what's the difference between 17/6 and 17/2.

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

step 4 Write the fractions 17/6 and 17/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 - 17/2
= [(17 x 6)/(6 x 6)] - [(17 x 6)/(2 x 6)]

step 5 Simplify the expression to have common denominator:
= 17/6 - 51/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (17/1 - 51/1)
= 1/6 x (17 - 51)

step 7Simplify the above expression further:
= 1/6 x -34
= -34/6
= -17/3
17/6 - 17/2 = -17/3

Hence,
17/6 minus 17/2 as a fraction is -17/3.

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17/6 - 17/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 17/2

What to be found?
(17/6)-(17/2) = ?
Find what's the difference between 17/6 and 17/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 2), find the product of numerator of Fraction B and denominator of Fraction A (17 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 2) and rewrite the equation as like the below:
= (17 x 2) - (17 x 6)/(6 x 2)

step 3 Simplify and rewrite the fraction:
= (34 - 102)/12
= -68/12
= -17/3
17/6 - 17/2 = -17/3

Hence,
17/6 minus 17/2 in fraction is -17/3