16/5 - 9/16 as a fraction

Learn how to find what is 16/5 minus 9/16 in fraction form just in a few minutes. We have covered the easiest method to write 16/5 - 9/16 as a fraction and decimal.

Summary: 16/5 minus 9/16 = 211/80
Since both fractions have unequal denominators, 16/5 minus 9/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/5 and fraction 9/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 16. 80 is the LCM of 5 and 16. Multiplying the LCM 80 with the numerators and denominators of both fractions (16/5 x 80/80) - (9/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 16/5 is 256/80 and for 9/16 is 45/80. By simplifying this fraction subtraction 256/80 - 45/80, it becomes 211/80.

CALCULATION: 16/5 - 9/16 as a fraction
16/5 - 9/16 = (?)
16/5 - 9/16 = [(16 x 16) - (9 x 5)]/(5 x 16)
= (256 - 45)/80
= 211/80
16/5 - 9/16 = 211/80
16/5 minus 9/16 as a fraction is 211/80.

where
16/5 is a improper fraction as a minuend,
9/16 is a proper fraction as a subtrahend,
211/80 is the difference between 16/5 and 9/16.

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16/5 minus 9/16 as a decimal
16/5 - 9/16 = 211/80
211/80 = 2.6375
(16/5) - (9/16) as a decimal is 2.6375

where
2.6375 is the difference between 16/5 and 9/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/16 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 9/16.
1. LCM method
2. Cross multiplication method.

(16/5) - (9/16) using LCM Method:
What is 16/5 minus 9/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 9/16

What to be found?
(16/5) - (9/16) = ?
Find what's the difference between 16/5 and 9/16.

step 2 Compare the denominators of fractions 16/5 and 9/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/5 and 9/16 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 16/5 and 9/16:
The LCM of 5 and 16 is 80.

step 4 Write the fractions 16/5 and 9/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/5 - 9/16
= [(16 x 80)/(5 x 80)] - [(9 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 256/80 - 45/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (256/1 - 45/1)
= 1/80 x (256 - 45)

step 7Simplify the above expression further:
= 1/80 x 211
= 211/80
16/5 - 9/16 = 211/80

Hence,
16/5 minus 9/16 as a fraction is 211/80.

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16/5 - 9/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 9/16

What to be found?
(16/5)-(9/16) = ?
Find what's the difference between 16/5 and 9/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 16), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 16) and rewrite the equation as like the below:
= (16 x 16) - (9 x 5)/(5 x 16)

step 3 Simplify and rewrite the fraction:
= (256 - 45)/80
16/5 - 9/16 = 211/80

Hence,
16/5 minus 9/16 in fraction is 211/80