17/4 - 5/6 as a fraction

Learn how to find what is 17/4 minus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 - 5/6 as a fraction and decimal.

Summary: 17/4 minus 5/6 = 41/12
Since both fractions have unequal denominators, 17/4 minus 5/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 5/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 6. 12 is the LCM of 4 and 6. Multiplying the LCM 12 with the numerators and denominators of both fractions (17/4 x 12/12) - (5/6 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 51/12 and for 5/6 is 10/12. By simplifying this fraction subtraction 51/12 - 10/12, it becomes 41/12.

CALCULATION: 17/4 - 5/6 as a fraction
17/4 - 5/6 = (?)
17/4 - 5/6 = [(17 x 6) - (5 x 4)]/(4 x 6)
= (102 - 20)/24
= 82/24
= (2 x 41)/(2 x 12)
= 41/12
17/4 - 5/6 = 41/12
17/4 minus 5/6 as a fraction is 41/12.

where
17/4 is a improper fraction as a minuend,
5/6 is a proper fraction as a subtrahend,
41/12 is the difference between 17/4 and 5/6.

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17/4 minus 5/6 as a decimal
17/4 - 5/6 = 41/12
41/12 = 3.4167
(17/4) - (5/6) as a decimal is 3.4167

where
3.4167 is the difference between 17/4 and 5/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/6 from 17/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/4 minus 5/6.
1. LCM method
2. Cross multiplication method.

(17/4) - (5/6) using LCM Method:
What is 17/4 minus 5/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 5/6

What to be found?
(17/4) - (5/6) = ?
Find what's the difference between 17/4 and 5/6.

step 2 Compare the denominators of fractions 17/4 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/4 and 5/6 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 17/4 and 5/6:
The LCM of 4 and 6 is 12.

step 4 Write the fractions 17/4 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 - 5/6
= [(17 x 12)/(4 x 12)] - [(5 x 12)/(6 x 12)]

step 5 Simplify the expression to have common denominator:
= 51/12 - 10/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (51/1 - 10/1)
= 1/12 x (51 - 10)

step 7Simplify the above expression further:
= 1/12 x 41
= 41/12
17/4 - 5/6 = 41/12

Hence,
17/4 minus 5/6 as a fraction is 41/12.

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17/4 - 5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 5/6

What to be found?
(17/4)-(5/6) = ?
Find what's the difference between 17/4 and 5/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 6) and rewrite the equation as like the below:
= (17 x 6) - (5 x 4)/(4 x 6)

step 3 Simplify and rewrite the fraction:
= (102 - 20)/24
= 82/24
= 41/12
17/4 - 5/6 = 41/12

Hence,
17/4 minus 5/6 in fraction is 41/12