5/3 - 17/6 as a fraction

Learn how to find what is 5/3 minus 17/6 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 - 17/6 as a fraction and decimal.

Summary: 5/3 minus 17/6 = -7/6
Since both fractions have unequal denominators, 5/3 minus 17/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 17/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 6. 6 is the LCM of 3 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (5/3 x 6/6) - (17/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 10/6 and for 17/6 is 17/6. By simplifying this fraction subtraction 10/6 - 17/6, it becomes -7/6.

CALCULATION: 5/3 - 17/6 as a fraction
5/3 - 17/6 = (?)
5/3 - 17/6 = [(5 x 6) - (17 x 3)]/(3 x 6)
= (30 - 51)/18
= -21/18
= (3 x -7)/(3 x 6)
= -7/6
5/3 - 17/6 = -7/6
5/3 minus 17/6 as a fraction is -7/6.

where
5/3 is a improper fraction as a minuend,
17/6 is a improper fraction as a subtrahend,
-7/6 is the difference between 5/3 and 17/6.

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5/3 minus 17/6 as a decimal
5/3 - 17/6 = -7/6
-7/6 = -1.1667
(5/3) - (17/6) as a decimal is -1.1667

where
-1.1667 is the difference between 5/3 and 17/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/6 from 5/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/3 minus 17/6.
1. LCM method
2. Cross multiplication method.

(5/3) - (17/6) using LCM Method:
What is 5/3 minus 17/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 17/6

What to be found?
(5/3) - (17/6) = ?
Find what's the difference between 5/3 and 17/6.

step 2 Compare the denominators of fractions 5/3 and 17/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/3 and 17/6 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 5/3 and 17/6:
The LCM of 3 and 6 is 6.

step 4 Write the fractions 5/3 and 17/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 - 17/6
= [(5 x 6)/(3 x 6)] - [(17 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 10/6 - 17/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (10/1 - 17/1)
= 1/6 x (10 - 17)

step 7Simplify the above expression further:
= 1/6 x -7
= -7/6
5/3 - 17/6 = -7/6

Hence,
5/3 minus 17/6 as a fraction is -7/6.

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5/3 - 17/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 17/6

What to be found?
(5/3)-(17/6) = ?
Find what's the difference between 5/3 and 17/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 6), find the product of numerator of Fraction B and denominator of Fraction A (17 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 6) and rewrite the equation as like the below:
= (5 x 6) - (17 x 3)/(3 x 6)

step 3 Simplify and rewrite the fraction:
= (30 - 51)/18
= -21/18
= -7/6
5/3 - 17/6 = -7/6

Hence,
5/3 minus 17/6 in fraction is -7/6