13/5 - 7/2 as a fraction

Learn how to find what is 13/5 minus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 - 7/2 as a fraction and decimal.

Summary: 13/5 minus 7/2 = -9/10
Since both fractions have unequal denominators, 13/5 minus 7/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 7/2 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 (13/5 x 10/10) - (7/2 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 26/10 and for 7/2 is 35/10. By simplifying this fraction subtraction 26/10 - 35/10, it becomes -9/10.

CALCULATION: 13/5 - 7/2 as a fraction
13/5 - 7/2 = (?)
13/5 - 7/2 = [(13 x 2) - (7 x 5)]/(5 x 2)
= (26 - 35)/10
= -9/10
13/5 - 7/2 = -9/10
13/5 minus 7/2 as a fraction is -9/10.

where
13/5 is a improper fraction as a minuend,
7/2 is a improper fraction as a subtrahend,
-9/10 is the difference between 13/5 and 7/2.

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13/5 minus 7/2 as a decimal
13/5 - 7/2 = -9/10
-9/10 = -0.9
(13/5) - (7/2) as a decimal is -0.9

where
-0.9 is the difference between 13/5 and 7/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/2 from 13/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/5 minus 7/2.
1. LCM method
2. Cross multiplication method.

(13/5) - (7/2) using LCM Method:
What is 13/5 minus 7/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 7/2

What to be found?
(13/5) - (7/2) = ?
Find what's the difference between 13/5 and 7/2.

step 2 Compare the denominators of fractions 13/5 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/5 and 7/2 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 13/5 and 7/2:
The LCM of 5 and 2 is 10.

step 4 Write the fractions 13/5 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 - 7/2
= [(13 x 10)/(5 x 10)] - [(7 x 10)/(2 x 10)]

step 5 Simplify the expression to have common denominator:
= 26/10 - 35/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (26/1 - 35/1)
= 1/10 x (26 - 35)

step 7Simplify the above expression further:
= 1/10 x -9
= -9/10
13/5 - 7/2 = -9/10

Hence,
13/5 minus 7/2 as a fraction is -9/10.

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13/5 - 7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 7/2

What to be found?
(13/5)-(7/2) = ?
Find what's the difference between 13/5 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 2), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (13 x 2) - (7 x 5)/(5 x 2)

step 3 Simplify and rewrite the fraction:
= (26 - 35)/10
13/5 - 7/2 = -9/10

Hence,
13/5 minus 7/2 in fraction is -9/10