5/6 - 3/16 as a fraction

Learn how to find what is 5/6 minus 3/16 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 - 3/16 as a fraction and decimal.

Summary: 5/6 minus 3/16 = 31/48
Since both fractions have unequal denominators, 5/6 minus 3/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 3/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 16. 48 is the LCM of 6 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (5/6 x 48/48) - (3/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 40/48 and for 3/16 is 9/48. By simplifying this fraction subtraction 40/48 - 9/48, it becomes 31/48.

Pie Chart Representation: 5/6 - 3/16 = 31/48

CALCULATION: 5/6 - 3/16 as a fraction
5/6 - 3/16 = (?)
5/6 - 3/16 = [(5 x 16) - (3 x 6)]/(6 x 16)
= (80 - 18)/96
= 62/96
= (2 x 31)/(2 x 48)
= 31/48
5/6 - 3/16 = 31/48
5/6 minus 3/16 as a fraction is 31/48.

where
5/6 is a proper fraction as a minuend,
3/16 is a proper fraction as a subtrahend,
31/48 is the difference between 5/6 and 3/16.

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5/6 minus 3/16 as a decimal
5/6 - 3/16 = 31/48
31/48 = 0.6458
(5/6) - (3/16) as a decimal is 0.6458

where
0.6458 is the difference between 5/6 and 3/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/16 from 5/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/6 minus 3/16.
1. LCM method
2. Cross multiplication method.

(5/6) - (3/16) using LCM Method:
What is 5/6 minus 3/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 3/16

What to be found?
(5/6) - (3/16) = ?
Find what's the difference between 5/6 and 3/16.

step 2 Compare the denominators of fractions 5/6 and 3/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 3/16 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 5/6 and 3/16:
The LCM of 6 and 16 is 48.

step 4 Write the fractions 5/6 and 3/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 - 3/16
= [(5 x 48)/(6 x 48)] - [(3 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 40/48 - 9/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (40/1 - 9/1)
= 1/48 x (40 - 9)

step 7Simplify the above expression further:
= 1/48 x 31
= 31/48
5/6 - 3/16 = 31/48

Hence,
5/6 minus 3/16 as a fraction is 31/48.

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5/6 - 3/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 3/16

What to be found?
(5/6)-(3/16) = ?
Find what's the difference between 5/6 and 3/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 16), find the product of numerator of Fraction B and denominator of Fraction A (3 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 16) and rewrite the equation as like the below:
= (5 x 16) - (3 x 6)/(6 x 16)

step 3 Simplify and rewrite the fraction:
= (80 - 18)/96
= 62/96
= 31/48
5/6 - 3/16 = 31/48

Hence,
5/6 minus 3/16 in fraction is 31/48