17/3 - 5/12 as a fraction

Learn how to find what is 17/3 minus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 17/3 - 5/12 as a fraction and decimal.

Summary: 17/3 minus 5/12 = 21/4
Since both fractions have unequal denominators, 17/3 minus 5/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/3 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 12. 12 is the LCM of 3 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (17/3 x 12/12) - (5/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 17/3 is 68/12 and for 5/12 is 5/12. By simplifying this fraction subtraction 68/12 - 5/12, it becomes 63/12.

CALCULATION: 17/3 - 5/12 as a fraction
17/3 - 5/12 = (?)
17/3 - 5/12 = [(17 x 12) - (5 x 3)]/(3 x 12)
= (204 - 15)/36
= 189/36
= (9 x 21)/(9 x 4)
= 21/4
17/3 - 5/12 = 21/4
17/3 minus 5/12 as a fraction is 21/4.

where
17/3 is a improper fraction as a minuend,
5/12 is a proper fraction as a subtrahend,
21/4 is the difference between 17/3 and 5/12.

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17/3 minus 5/12 as a decimal
17/3 - 5/12 = 21/4
21/4 = 5.25
(17/3) - (5/12) as a decimal is 5.25

where
5.25 is the difference between 17/3 and 5/12.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/12 from 17/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/3 minus 5/12.
1. LCM method
2. Cross multiplication method.

(17/3) - (5/12) using LCM Method:
What is 17/3 minus 5/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 5/12

What to be found?
(17/3) - (5/12) = ?
Find what's the difference between 17/3 and 5/12.

step 2 Compare the denominators of fractions 17/3 and 5/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/3 and 5/12 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 17/3 and 5/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 17/3 and 5/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/3 - 5/12
= [(17 x 12)/(3 x 12)] - [(5 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 68/12 - 5/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (68/1 - 5/1)
= 1/12 x (68 - 5)

step 7Simplify the above expression further:
= 1/12 x 63
= 63/12
= 21/4
17/3 - 5/12 = 21/4

Hence,
17/3 minus 5/12 as a fraction is 21/4.

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17/3 - 5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 5/12

What to be found?
(17/3)-(5/12) = ?
Find what's the difference between 17/3 and 5/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 12) and rewrite the equation as like the below:
= (17 x 12) - (5 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (204 - 15)/36
= 189/36
= 21/4
17/3 - 5/12 = 21/4

Hence,
17/3 minus 5/12 in fraction is 21/4