5/16 - 12/17 as a fraction

Learn how to find what is 5/16 minus 12/17 in fraction form just in a few minutes. We have covered the easiest method to write 5/16 - 12/17 as a fraction and decimal.

Summary: 5/16 minus 12/17 = -107/272
Since both fractions have unequal denominators, 5/16 minus 12/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/16 and fraction 12/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 16 and 17. 272 is the LCM of 16 and 17. Multiplying the LCM 272 with the numerators and denominators of both fractions (5/16 x 272/272) - (12/17 x 272/272), and simplify further in order to have the common denominator. So the equivalent fraction for 5/16 is 85/272 and for 12/17 is 192/272. By simplifying this fraction subtraction 85/272 - 192/272, it becomes -107/272.

CALCULATION: 5/16 - 12/17 as a fraction
5/16 - 12/17 = (?)
5/16 - 12/17 = [(5 x 17) - (12 x 16)]/(16 x 17)
= (85 - 192)/272
= -107/272
5/16 - 12/17 = -107/272
5/16 minus 12/17 as a fraction is -107/272.

where
5/16 is a proper fraction as a minuend,
12/17 is a proper fraction as a subtrahend,
-107/272 is the difference between 5/16 and 12/17.

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5/16 minus 12/17 as a decimal
5/16 - 12/17 = -107/272
-107/272 = -0.3934
(5/16) - (12/17) as a decimal is -0.3934

where
-0.3934 is the difference between 5/16 and 12/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 12/17 from 5/16. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/16 minus 12/17.
1. LCM method
2. Cross multiplication method.

(5/16) - (12/17) using LCM Method:
What is 5/16 minus 12/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/16
Fraction B: 12/17

What to be found?
(5/16) - (12/17) = ?
Find what's the difference between 5/16 and 12/17.

step 2 Compare the denominators of fractions 5/16 and 12/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/16 and 12/17 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 5/16 and 12/17:
The LCM of 16 and 17 is 272.

step 4 Write the fractions 5/16 and 12/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/16 - 12/17
= [(5 x 272)/(16 x 272)] - [(12 x 272)/(17 x 272)]

step 5 Simplify the expression to have common denominator:
= 85/272 - 192/272

step 6 Take the common values out and rewrite the above expression like the below:
= 1/272 x (85/1 - 192/1)
= 1/272 x (85 - 192)

step 7Simplify the above expression further:
= 1/272 x -107
= -107/272
5/16 - 12/17 = -107/272

Hence,
5/16 minus 12/17 as a fraction is -107/272.

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5/16 - 12/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/16
Fraction B: 12/17

What to be found?
(5/16)-(12/17) = ?
Find what's the difference between 5/16 and 12/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 17), find the product of numerator of Fraction B and denominator of Fraction A (12 x 16), and find the product of both denominators of Fraction A and Fraction B (16 x 17) and rewrite the equation as like the below:
= (5 x 17) - (12 x 16)/(16 x 17)

step 3 Simplify and rewrite the fraction:
= (85 - 192)/272
5/16 - 12/17 = -107/272

Hence,
5/16 minus 12/17 in fraction is -107/272