3/5 - 5/3 as a fraction

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

Summary: 3/5 minus 5/3 = -16/15
Since both fractions have unequal denominators, 3/5 minus 5/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 5/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 3. 15 is the LCM of 5 and 3. Multiplying the LCM 15 with the numerators and denominators of both fractions (3/5 x 15/15) - (5/3 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 9/15 and for 5/3 is 25/15. By simplifying this fraction subtraction 9/15 - 25/15, it becomes -16/15.

CALCULATION: 3/5 - 5/3 as a fraction
3/5 - 5/3 = (?)
3/5 - 5/3 = [(3 x 3) - (5 x 5)]/(5 x 3)
= (9 - 25)/15
= -16/15
3/5 - 5/3 = -16/15
3/5 minus 5/3 as a fraction is -16/15.

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

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3/5 minus 5/3 as a decimal
3/5 - 5/3 = -16/15
-16/15 = -1.0667
(3/5) - (5/3) as a decimal is -1.0667

where
-1.0667 is the difference between 3/5 and 5/3.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 9/15 - 25/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (9/1 - 25/1)
= 1/15 x (9 - 25)

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

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

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

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

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

step 3 Simplify and rewrite the fraction:
= (9 - 25)/15
3/5 - 5/3 = -16/15

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