16/5 - 5/12 as a fraction

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

Summary: 16/5 minus 5/12 = 167/60
Since both fractions have unequal denominators, 16/5 minus 5/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/5 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 12. 60 is the LCM of 5 and 12. Multiplying the LCM 60 with the numerators and denominators of both fractions (16/5 x 60/60) - (5/12 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 16/5 is 192/60 and for 5/12 is 25/60. By simplifying this fraction subtraction 192/60 - 25/60, it becomes 167/60.

CALCULATION: 16/5 - 5/12 as a fraction
16/5 - 5/12 = (?)
16/5 - 5/12 = [(16 x 12) - (5 x 5)]/(5 x 12)
= (192 - 25)/60
= 167/60
16/5 - 5/12 = 167/60
16/5 minus 5/12 as a fraction is 167/60.

where
16/5 is a improper fraction as a minuend,
5/12 is a proper fraction as a subtrahend,
167/60 is the difference between 16/5 and 5/12.

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16/5 minus 5/12 as a decimal
16/5 - 5/12 = 167/60
167/60 = 2.7833
(16/5) - (5/12) as a decimal is 2.7833

where
2.7833 is the difference between 16/5 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 16/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/5 minus 5/12.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 16/5 and 5/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/5 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 16/5 and 5/12:
The LCM of 5 and 12 is 60.

step 4 Write the fractions 16/5 and 5/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/5 - 5/12
= [(16 x 60)/(5 x 60)] - [(5 x 60)/(12 x 60)]

step 5 Simplify the expression to have common denominator:
= 192/60 - 25/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (192/1 - 25/1)
= 1/60 x (192 - 25)

step 7Simplify the above expression further:
= 1/60 x 167
= 167/60
16/5 - 5/12 = 167/60

Hence,
16/5 minus 5/12 as a fraction is 167/60.

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

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

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

step 3 Simplify and rewrite the fraction:
= (192 - 25)/60
16/5 - 5/12 = 167/60

Hence,
16/5 minus 5/12 in fraction is 167/60