7/2 - 13/10 as a fraction

Learn how to find what is 7/2 minus 13/10 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 13/10 as a fraction and decimal.

Summary: 7/2 minus 13/10 = 11/5
Since both fractions have unequal denominators, 7/2 minus 13/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 13/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 10. 10 is the LCM of 2 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (7/2 x 10/10) - (13/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 35/10 and for 13/10 is 13/10. By simplifying this fraction subtraction 35/10 - 13/10, it becomes 22/10.

CALCULATION: 7/2 - 13/10 as a fraction
7/2 - 13/10 = (?)
7/2 - 13/10 = [(7 x 10) - (13 x 2)]/(2 x 10)
= (70 - 26)/20
= 44/20
= (4 x 11)/(4 x 5)
= 11/5
7/2 - 13/10 = 11/5
7/2 minus 13/10 as a fraction is 11/5.

where
7/2 is a improper fraction as a minuend,
13/10 is a improper fraction as a subtrahend,
11/5 is the difference between 7/2 and 13/10.

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7/2 minus 13/10 as a decimal
7/2 - 13/10 = 11/5
11/5 = 2.2
(7/2) - (13/10) as a decimal is 2.2

where
2.2 is the difference between 7/2 and 13/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/10 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 13/10.
1. LCM method
2. Cross multiplication method.

(7/2) - (13/10) using LCM Method:
What is 7/2 minus 13/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 13/10

What to be found?
(7/2) - (13/10) = ?
Find what's the difference between 7/2 and 13/10.

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

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

step 5 Simplify the expression to have common denominator:
= 35/10 - 13/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (35/1 - 13/1)
= 1/10 x (35 - 13)

step 7Simplify the above expression further:
= 1/10 x 22
= 22/10
= 11/5
7/2 - 13/10 = 11/5

Hence,
7/2 minus 13/10 as a fraction is 11/5.

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7/2 - 13/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 13/10

What to be found?
(7/2)-(13/10) = ?
Find what's the difference between 7/2 and 13/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 10), find the product of numerator of Fraction B and denominator of Fraction A (13 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 10) and rewrite the equation as like the below:
= (7 x 10) - (13 x 2)/(2 x 10)

step 3 Simplify and rewrite the fraction:
= (70 - 26)/20
= 44/20
= 11/5
7/2 - 13/10 = 11/5

Hence,
7/2 minus 13/10 in fraction is 11/5