11/6 - 5/16 as a fraction

Learn how to find what is 11/6 minus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 - 5/16 as a fraction and decimal.

Summary: 11/6 minus 5/16 = 73/48
Since both fractions have unequal denominators, 11/6 minus 5/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 5/16 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 (11/6 x 48/48) - (5/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 88/48 and for 5/16 is 15/48. By simplifying this fraction subtraction 88/48 - 15/48, it becomes 73/48.

CALCULATION: 11/6 - 5/16 as a fraction
11/6 - 5/16 = (?)
11/6 - 5/16 = [(11 x 16) - (5 x 6)]/(6 x 16)
= (176 - 30)/96
= 146/96
= (2 x 73)/(2 x 48)
= 73/48
11/6 - 5/16 = 73/48
11/6 minus 5/16 as a fraction is 73/48.

where
11/6 is a improper fraction as a minuend,
5/16 is a proper fraction as a subtrahend,
73/48 is the difference between 11/6 and 5/16.

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11/6 minus 5/16 as a decimal
11/6 - 5/16 = 73/48
73/48 = 1.5208
(11/6) - (5/16) as a decimal is 1.5208

where
1.5208 is the difference between 11/6 and 5/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/16 from 11/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/6 minus 5/16.
1. LCM method
2. Cross multiplication method.

(11/6) - (5/16) using LCM Method:
What is 11/6 minus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 5/16

What to be found?
(11/6) - (5/16) = ?
Find what's the difference between 11/6 and 5/16.

step 2 Compare the denominators of fractions 11/6 and 5/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/6 and 5/16 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 11/6 and 5/16:
The LCM of 6 and 16 is 48.

step 4 Write the fractions 11/6 and 5/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 - 5/16
= [(11 x 48)/(6 x 48)] - [(5 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 88/48 - 15/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (88/1 - 15/1)
= 1/48 x (88 - 15)

step 7Simplify the above expression further:
= 1/48 x 73
= 73/48
11/6 - 5/16 = 73/48

Hence,
11/6 minus 5/16 as a fraction is 73/48.

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11/6 - 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 5/16

What to be found?
(11/6)-(5/16) = ?
Find what's the difference between 11/6 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (11 x 16) - (5 x 6)/(6 x 16)

step 3 Simplify and rewrite the fraction:
= (176 - 30)/96
= 146/96
= 73/48
11/6 - 5/16 = 73/48

Hence,
11/6 minus 5/16 in fraction is 73/48