6/5 - 5/3 as a fraction

Learn how to find what is 6/5 minus 5/3 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 - 5/3 as a fraction and decimal.

Summary: 6/5 minus 5/3 = -7/15
Since both fractions have unequal denominators, 6/5 minus 5/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/5 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 (6/5 x 15/15) - (5/3 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 18/15 and for 5/3 is 25/15. By simplifying this fraction subtraction 18/15 - 25/15, it becomes -7/15.

CALCULATION: 6/5 - 5/3 as a fraction
6/5 - 5/3 = (?)
6/5 - 5/3 = [(6 x 3) - (5 x 5)]/(5 x 3)
= (18 - 25)/15
= -7/15
6/5 - 5/3 = -7/15
6/5 minus 5/3 as a fraction is -7/15.

where
6/5 is a improper fraction as a minuend,
5/3 is a improper fraction as a subtrahend,
-7/15 is the difference between 6/5 and 5/3.

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6/5 minus 5/3 as a decimal
6/5 - 5/3 = -7/15
-7/15 = -0.4667
(6/5) - (5/3) as a decimal is -0.4667

where
-0.4667 is the difference between 6/5 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 6/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6/5 minus 5/3.
1. LCM method
2. Cross multiplication method.

(6/5) - (5/3) using LCM Method:
What is 6/5 minus 5/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 5/3

What to be found?
(6/5) - (5/3) = ?
Find what's the difference between 6/5 and 5/3.

step 2 Compare the denominators of fractions 6/5 and 5/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/5 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 6/5 and 5/3:
The LCM of 5 and 3 is 15.

step 4 Write the fractions 6/5 and 5/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 - 5/3
= [(6 x 15)/(5 x 15)] - [(5 x 15)/(3 x 15)]

step 5 Simplify the expression to have common denominator:
= 18/15 - 25/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (18/1 - 25/1)
= 1/15 x (18 - 25)

step 7Simplify the above expression further:
= 1/15 x -7
= -7/15
6/5 - 5/3 = -7/15

Hence,
6/5 minus 5/3 as a fraction is -7/15.

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6/5 - 5/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 5/3

What to be found?
(6/5)-(5/3) = ?
Find what's the difference between 6/5 and 5/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 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:
= (6 x 3) - (5 x 5)/(5 x 3)

step 3 Simplify and rewrite the fraction:
= (18 - 25)/15
6/5 - 5/3 = -7/15

Hence,
6/5 minus 5/3 in fraction is -7/15