16/5 - 3/2 as a fraction

Learn how to find what is 16/5 minus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 16/5 - 3/2 as a fraction and decimal.

Summary: 16/5 minus 3/2 = 17/10
Since both fractions have unequal denominators, 16/5 minus 3/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/5 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 2. 10 is the LCM of 5 and 2. Multiplying the LCM 10 with the numerators and denominators of both fractions (16/5 x 10/10) - (3/2 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 16/5 is 32/10 and for 3/2 is 15/10. By simplifying this fraction subtraction 32/10 - 15/10, it becomes 17/10.

CALCULATION: 16/5 - 3/2 as a fraction
16/5 - 3/2 = (?)
16/5 - 3/2 = [(16 x 2) - (3 x 5)]/(5 x 2)
= (32 - 15)/10
= 17/10
16/5 - 3/2 = 17/10
16/5 minus 3/2 as a fraction is 17/10.

where
16/5 is a improper fraction as a minuend,
3/2 is a improper fraction as a subtrahend,
17/10 is the difference between 16/5 and 3/2.

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16/5 minus 3/2 as a decimal
16/5 - 3/2 = 17/10
17/10 = 1.7
(16/5) - (3/2) as a decimal is 1.7

where
1.7 is the difference between 16/5 and 3/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/2 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 3/2.
1. LCM method
2. Cross multiplication method.

(16/5) - (3/2) using LCM Method:
What is 16/5 minus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 3/2

What to be found?
(16/5) - (3/2) = ?
Find what's the difference between 16/5 and 3/2.

step 2 Compare the denominators of fractions 16/5 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/5 and 3/2 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 3/2:
The LCM of 5 and 2 is 10.

step 4 Write the fractions 16/5 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/5 - 3/2
= [(16 x 10)/(5 x 10)] - [(3 x 10)/(2 x 10)]

step 5 Simplify the expression to have common denominator:
= 32/10 - 15/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (32/1 - 15/1)
= 1/10 x (32 - 15)

step 7Simplify the above expression further:
= 1/10 x 17
= 17/10
16/5 - 3/2 = 17/10

Hence,
16/5 minus 3/2 as a fraction is 17/10.

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16/5 - 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 3/2

What to be found?
(16/5)-(3/2) = ?
Find what's the difference between 16/5 and 3/2.

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

step 3 Simplify and rewrite the fraction:
= (32 - 15)/10
16/5 - 3/2 = 17/10

Hence,
16/5 minus 3/2 in fraction is 17/10