4/3 - 16/5 as a fraction

Learn how to find what is 4/3 minus 16/5 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 - 16/5 as a fraction and decimal.

Summary: 4/3 minus 16/5 = -28/15
Since both fractions have unequal denominators, 4/3 minus 16/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 16/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 5. 15 is the LCM of 3 and 5. Multiplying the LCM 15 with the numerators and denominators of both fractions (4/3 x 15/15) - (16/5 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 20/15 and for 16/5 is 48/15. By simplifying this fraction subtraction 20/15 - 48/15, it becomes -28/15.

CALCULATION: 4/3 - 16/5 as a fraction
4/3 - 16/5 = (?)
4/3 - 16/5 = [(4 x 5) - (16 x 3)]/(3 x 5)
= (20 - 48)/15
= -28/15
4/3 - 16/5 = -28/15
4/3 minus 16/5 as a fraction is -28/15.

where
4/3 is a improper fraction as a minuend,
16/5 is a improper fraction as a subtrahend,
-28/15 is the difference between 4/3 and 16/5.

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4/3 minus 16/5 as a decimal
4/3 - 16/5 = -28/15
-28/15 = -1.8667
(4/3) - (16/5) as a decimal is -1.8667

where
-1.8667 is the difference between 4/3 and 16/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 16/5 from 4/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/3 minus 16/5.
1. LCM method
2. Cross multiplication method.

(4/3) - (16/5) using LCM Method:
What is 4/3 minus 16/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 16/5

What to be found?
(4/3) - (16/5) = ?
Find what's the difference between 4/3 and 16/5.

step 2 Compare the denominators of fractions 4/3 and 16/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/3 and 16/5 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 4/3 and 16/5:
The LCM of 3 and 5 is 15.

step 4 Write the fractions 4/3 and 16/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 - 16/5
= [(4 x 15)/(3 x 15)] - [(16 x 15)/(5 x 15)]

step 5 Simplify the expression to have common denominator:
= 20/15 - 48/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (20/1 - 48/1)
= 1/15 x (20 - 48)

step 7Simplify the above expression further:
= 1/15 x -28
= -28/15
4/3 - 16/5 = -28/15

Hence,
4/3 minus 16/5 as a fraction is -28/15.

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4/3 - 16/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 16/5

What to be found?
(4/3)-(16/5) = ?
Find what's the difference between 4/3 and 16/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 5), find the product of numerator of Fraction B and denominator of Fraction A (16 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
= (4 x 5) - (16 x 3)/(3 x 5)

step 3 Simplify and rewrite the fraction:
= (20 - 48)/15
4/3 - 16/5 = -28/15

Hence,
4/3 minus 16/5 in fraction is -28/15