11/5 - 7/2 as a fraction

Learn how to find what is 11/5 minus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 11/5 - 7/2 as a fraction and decimal.

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

CALCULATION: 11/5 - 7/2 as a fraction
11/5 - 7/2 = (?)
11/5 - 7/2 = [(11 x 2) - (7 x 5)]/(5 x 2)
= (22 - 35)/10
= -13/10
11/5 - 7/2 = -13/10
11/5 minus 7/2 as a fraction is -13/10.

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

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11/5 minus 7/2 as a decimal
11/5 - 7/2 = -13/10
-13/10 = -1.3
(11/5) - (7/2) as a decimal is -1.3

where
-1.3 is the difference between 11/5 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 11/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/5 minus 7/2.
1. LCM method
2. Cross multiplication method.

(11/5) - (7/2) using LCM Method:
What is 11/5 minus 7/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 7/2

What to be found?
(11/5) - (7/2) = ?
Find what's the difference between 11/5 and 7/2.

step 2 Compare the denominators of fractions 11/5 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/5 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 11/5 and 7/2:
The LCM of 5 and 2 is 10.

step 4 Write the fractions 11/5 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/5 - 7/2
= [(11 x 10)/(5 x 10)] - [(7 x 10)/(2 x 10)]

step 5 Simplify the expression to have common denominator:
= 22/10 - 35/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (22/1 - 35/1)
= 1/10 x (22 - 35)

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

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

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11/5 - 7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 7/2

What to be found?
(11/5)-(7/2) = ?
Find what's the difference between 11/5 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 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:
= (11 x 2) - (7 x 5)/(5 x 2)

step 3 Simplify and rewrite the fraction:
= (22 - 35)/10
11/5 - 7/2 = -13/10

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