17/6 - 13/3 as a fraction

Learn how to find what is 17/6 minus 13/3 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 - 13/3 as a fraction and decimal.

Summary: 17/6 minus 13/3 = -3/2
Since both fractions have unequal denominators, 17/6 minus 13/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 13/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 3. 6 is the LCM of 6 and 3. Multiplying the LCM 6 with the numerators and denominators of both fractions (17/6 x 6/6) - (13/3 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 13/3 is 26/6. By simplifying this fraction subtraction 17/6 - 26/6, it becomes -9/6.

CALCULATION: 17/6 - 13/3 as a fraction
17/6 - 13/3 = (?)
17/6 - 13/3 = [(17 x 3) - (13 x 6)]/(6 x 3)
= (51 - 78)/18
= -27/18
= (9 x -3)/(9 x 2)
= -3/2
17/6 - 13/3 = -3/2
17/6 minus 13/3 as a fraction is -3/2.

where
17/6 is a improper fraction as a minuend,
13/3 is a improper fraction as a subtrahend,
-3/2 is the difference between 17/6 and 13/3.

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17/6 minus 13/3 as a decimal
17/6 - 13/3 = -3/2
-3/2 = -1.5
(17/6) - (13/3) as a decimal is -1.5

where
-1.5 is the difference between 17/6 and 13/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/3 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 13/3.
1. LCM method
2. Cross multiplication method.

(17/6) - (13/3) using LCM Method:
What is 17/6 minus 13/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 13/3

What to be found?
(17/6) - (13/3) = ?
Find what's the difference between 17/6 and 13/3.

step 2 Compare the denominators of fractions 17/6 and 13/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/6 and 13/3 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 13/3:
The LCM of 6 and 3 is 6.

step 4 Write the fractions 17/6 and 13/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 - 13/3
= [(17 x 6)/(6 x 6)] - [(13 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 17/6 - 26/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (17/1 - 26/1)
= 1/6 x (17 - 26)

step 7Simplify the above expression further:
= 1/6 x -9
= -9/6
= -3/2
17/6 - 13/3 = -3/2

Hence,
17/6 minus 13/3 as a fraction is -3/2.

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17/6 - 13/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 13/3

What to be found?
(17/6)-(13/3) = ?
Find what's the difference between 17/6 and 13/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 3), find the product of numerator of Fraction B and denominator of Fraction A (13 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 3) and rewrite the equation as like the below:
= (17 x 3) - (13 x 6)/(6 x 3)

step 3 Simplify and rewrite the fraction:
= (51 - 78)/18
= -27/18
= -3/2
17/6 - 13/3 = -3/2

Hence,
17/6 minus 13/3 in fraction is -3/2