3/5 - 5/2 as a fraction

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

Summary: 3/5 minus 5/2 = -19/10
Since both fractions have unequal denominators, 3/5 minus 5/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 5/2 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 (3/5 x 10/10) - (5/2 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 6/10 and for 5/2 is 25/10. By simplifying this fraction subtraction 6/10 - 25/10, it becomes -19/10.

CALCULATION: 3/5 - 5/2 as a fraction
3/5 - 5/2 = (?)
3/5 - 5/2 = [(3 x 2) - (5 x 5)]/(5 x 2)
= (6 - 25)/10
= -19/10
3/5 - 5/2 = -19/10
3/5 minus 5/2 as a fraction is -19/10.

where
3/5 is a proper fraction as a minuend,
5/2 is a improper fraction as a subtrahend,
-19/10 is the difference between 3/5 and 5/2.

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3/5 minus 5/2 as a decimal
3/5 - 5/2 = -19/10
-19/10 = -1.9
(3/5) - (5/2) as a decimal is -1.9

where
-1.9 is the difference between 3/5 and 5/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/2 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 5/2.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 6/10 - 25/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (6/1 - 25/1)
= 1/10 x (6 - 25)

step 7Simplify the above expression further:
= 1/10 x -19
= -19/10
3/5 - 5/2 = -19/10

Hence,
3/5 minus 5/2 as a fraction is -19/10.

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

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

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

step 3 Simplify and rewrite the fraction:
= (6 - 25)/10
3/5 - 5/2 = -19/10

Hence,
3/5 minus 5/2 in fraction is -19/10