13/8 - 5/16 as a fraction

Learn how to find what is 13/8 minus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 5/16 as a fraction and decimal.

Summary: 13/8 minus 5/16 = 21/16
Since both fractions have unequal denominators, 13/8 minus 5/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 16. 16 is the LCM of 8 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (13/8 x 16/16) - (5/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 26/16 and for 5/16 is 5/16. By simplifying this fraction subtraction 26/16 - 5/16, it becomes 21/16.

CALCULATION: 13/8 - 5/16 as a fraction
13/8 - 5/16 = (?)
13/8 - 5/16 = [(13 x 16) - (5 x 8)]/(8 x 16)
= (208 - 40)/128
= 168/128
= (8 x 21)/(8 x 16)
= 21/16
13/8 - 5/16 = 21/16
13/8 minus 5/16 as a fraction is 21/16.

where
13/8 is a improper fraction as a minuend,
5/16 is a proper fraction as a subtrahend,
21/16 is the difference between 13/8 and 5/16.

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13/8 minus 5/16 as a decimal
13/8 - 5/16 = 21/16
21/16 = 1.3125
(13/8) - (5/16) as a decimal is 1.3125

where
1.3125 is the difference between 13/8 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 13/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/8 minus 5/16.
1. LCM method
2. Cross multiplication method.

(13/8) - (5/16) using LCM Method:
What is 13/8 minus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/16

What to be found?
(13/8) - (5/16) = ?
Find what's the difference between 13/8 and 5/16.

step 2 Compare the denominators of fractions 13/8 and 5/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 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 13/8 and 5/16:
The LCM of 8 and 16 is 16.

step 4 Write the fractions 13/8 and 5/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 5/16
= [(13 x 16)/(8 x 16)] - [(5 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 26/16 - 5/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (26/1 - 5/1)
= 1/16 x (26 - 5)

step 7Simplify the above expression further:
= 1/16 x 21
= 21/16
13/8 - 5/16 = 21/16

Hence,
13/8 minus 5/16 as a fraction is 21/16.

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13/8 - 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/16

What to be found?
(13/8)-(5/16) = ?
Find what's the difference between 13/8 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 16) and rewrite the equation as like the below:
= (13 x 16) - (5 x 8)/(8 x 16)

step 3 Simplify and rewrite the fraction:
= (208 - 40)/128
= 168/128
= 21/16
13/8 - 5/16 = 21/16

Hence,
13/8 minus 5/16 in fraction is 21/16