17/12 - 13/17 as a fraction

Learn how to find what is 17/12 minus 13/17 in fraction form just in a few minutes. We have covered the easiest method to write 17/12 - 13/17 as a fraction and decimal.

Summary: 17/12 minus 13/17 = 133/204
Since both fractions have unequal denominators, 17/12 minus 13/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/12 and fraction 13/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 12 and 17. 204 is the LCM of 12 and 17. Multiplying the LCM 204 with the numerators and denominators of both fractions (17/12 x 204/204) - (13/17 x 204/204), and simplify further in order to have the common denominator. So the equivalent fraction for 17/12 is 289/204 and for 13/17 is 156/204. By simplifying this fraction subtraction 289/204 - 156/204, it becomes 133/204.

Pie Chart Representation: 17/12 - 13/17 = 133/204

CALCULATION: 17/12 - 13/17 as a fraction
17/12 - 13/17 = (?)
17/12 - 13/17 = [(17 x 17) - (13 x 12)]/(12 x 17)
= (289 - 156)/204
= 133/204
17/12 - 13/17 = 133/204
17/12 minus 13/17 as a fraction is 133/204.

where
17/12 is a improper fraction as a minuend,
13/17 is a proper fraction as a subtrahend,
133/204 is the difference between 17/12 and 13/17.

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17/12 minus 13/17 as a decimal
17/12 - 13/17 = 133/204
133/204 = 0.652
(17/12) - (13/17) as a decimal is 0.652

where
0.652 is the difference between 17/12 and 13/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/17 from 17/12. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/12 minus 13/17.
1. LCM method
2. Cross multiplication method.

(17/12) - (13/17) using LCM Method:
What is 17/12 minus 13/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/12
Fraction B: 13/17

What to be found?
(17/12) - (13/17) = ?
Find what's the difference between 17/12 and 13/17.

step 2 Compare the denominators of fractions 17/12 and 13/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/12 and 13/17 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 17/12 and 13/17:
The LCM of 12 and 17 is 204.

step 4 Write the fractions 17/12 and 13/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/12 - 13/17
= [(17 x 204)/(12 x 204)] - [(13 x 204)/(17 x 204)]

step 5 Simplify the expression to have common denominator:
= 289/204 - 156/204

step 6 Take the common values out and rewrite the above expression like the below:
= 1/204 x (289/1 - 156/1)
= 1/204 x (289 - 156)

step 7Simplify the above expression further:
= 1/204 x 133
= 133/204
17/12 - 13/17 = 133/204

Hence,
17/12 minus 13/17 as a fraction is 133/204.

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17/12 - 13/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/12
Fraction B: 13/17

What to be found?
(17/12)-(13/17) = ?
Find what's the difference between 17/12 and 13/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 17), find the product of numerator of Fraction B and denominator of Fraction A (13 x 12), and find the product of both denominators of Fraction A and Fraction B (12 x 17) and rewrite the equation as like the below:
= (17 x 17) - (13 x 12)/(12 x 17)

step 3 Simplify and rewrite the fraction:
= (289 - 156)/204
17/12 - 13/17 = 133/204

Hence,
17/12 minus 13/17 in fraction is 133/204