16/5 - 9/20 as a fraction

Learn how to find what is 16/5 minus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 16/5 - 9/20 as a fraction and decimal.

Summary: 16/5 minus 9/20 = 11/4
Since both fractions have unequal denominators, 16/5 minus 9/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/5 and fraction 9/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (16/5 x 20/20) - (9/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 16/5 is 64/20 and for 9/20 is 9/20. By simplifying this fraction subtraction 64/20 - 9/20, it becomes 55/20.

CALCULATION: 16/5 - 9/20 as a fraction
16/5 - 9/20 = (?)
16/5 - 9/20 = [(16 x 20) - (9 x 5)]/(5 x 20)
= (320 - 45)/100
= 275/100
= (25 x 11)/(25 x 4)
= 11/4
16/5 - 9/20 = 11/4
16/5 minus 9/20 as a fraction is 11/4.

where
16/5 is a improper fraction as a minuend,
9/20 is a proper fraction as a subtrahend,
11/4 is the difference between 16/5 and 9/20.

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16/5 minus 9/20 as a decimal
16/5 - 9/20 = 11/4
11/4 = 2.75
(16/5) - (9/20) as a decimal is 2.75

where
2.75 is the difference between 16/5 and 9/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/20 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 9/20.
1. LCM method
2. Cross multiplication method.

(16/5) - (9/20) using LCM Method:
What is 16/5 minus 9/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 9/20

What to be found?
(16/5) - (9/20) = ?
Find what's the difference between 16/5 and 9/20.

step 2 Compare the denominators of fractions 16/5 and 9/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/5 and 9/20 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 9/20:
The LCM of 5 and 20 is 20.

step 4 Write the fractions 16/5 and 9/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/5 - 9/20
= [(16 x 20)/(5 x 20)] - [(9 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 64/20 - 9/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (64/1 - 9/1)
= 1/20 x (64 - 9)

step 7Simplify the above expression further:
= 1/20 x 55
= 55/20
= 11/4
16/5 - 9/20 = 11/4

Hence,
16/5 minus 9/20 as a fraction is 11/4.

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16/5 - 9/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 9/20

What to be found?
(16/5)-(9/20) = ?
Find what's the difference between 16/5 and 9/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 20), 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 20) and rewrite the equation as like the below:
= (16 x 20) - (9 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (320 - 45)/100
= 275/100
= 11/4
16/5 - 9/20 = 11/4

Hence,
16/5 minus 9/20 in fraction is 11/4