17/6 - 17/4 as a fraction

Learn how to find what is 17/6 minus 17/4 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 - 17/4 as a fraction and decimal.

Summary: 17/6 minus 17/4 = -17/12
Since both fractions have unequal denominators, 17/6 minus 17/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 17/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 4. 12 is the LCM of 6 and 4. Multiplying the LCM 12 with the numerators and denominators of both fractions (17/6 x 12/12) - (17/4 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 34/12 and for 17/4 is 51/12. By simplifying this fraction subtraction 34/12 - 51/12, it becomes -17/12.

CALCULATION: 17/6 - 17/4 as a fraction
17/6 - 17/4 = (?)
17/6 - 17/4 = [(17 x 4) - (17 x 6)]/(6 x 4)
= (68 - 102)/24
= -34/24
= (2 x -17)/(2 x 12)
= -17/12
17/6 - 17/4 = -17/12
17/6 minus 17/4 as a fraction is -17/12.

where
17/6 is a improper fraction as a minuend,
17/4 is a improper fraction as a subtrahend,
-17/12 is the difference between 17/6 and 17/4.

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17/6 minus 17/4 as a decimal
17/6 - 17/4 = -17/12
-17/12 = -1.4167
(17/6) - (17/4) as a decimal is -1.4167

where
-1.4167 is the difference between 17/6 and 17/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/4 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 17/4.
1. LCM method
2. Cross multiplication method.

(17/6) - (17/4) using LCM Method:
What is 17/6 minus 17/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 17/4

What to be found?
(17/6) - (17/4) = ?
Find what's the difference between 17/6 and 17/4.

step 2 Compare the denominators of fractions 17/6 and 17/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/6 and 17/4 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 17/4:
The LCM of 6 and 4 is 12.

step 4 Write the fractions 17/6 and 17/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 - 17/4
= [(17 x 12)/(6 x 12)] - [(17 x 12)/(4 x 12)]

step 5 Simplify the expression to have common denominator:
= 34/12 - 51/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (34/1 - 51/1)
= 1/12 x (34 - 51)

step 7Simplify the above expression further:
= 1/12 x -17
= -17/12
17/6 - 17/4 = -17/12

Hence,
17/6 minus 17/4 as a fraction is -17/12.

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17/6 - 17/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 17/4

What to be found?
(17/6)-(17/4) = ?
Find what's the difference between 17/6 and 17/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 4), 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 4) and rewrite the equation as like the below:
= (17 x 4) - (17 x 6)/(6 x 4)

step 3 Simplify and rewrite the fraction:
= (68 - 102)/24
= -34/24
= -17/12
17/6 - 17/4 = -17/12

Hence,
17/6 minus 17/4 in fraction is -17/12