7/5 - 11/2 as a fraction

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

Summary: 7/5 minus 11/2 = -41/10
Since both fractions have unequal denominators, 7/5 minus 11/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/5 and fraction 11/2 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 (7/5 x 10/10) - (11/2 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 7/5 is 14/10 and for 11/2 is 55/10. By simplifying this fraction subtraction 14/10 - 55/10, it becomes -41/10.

CALCULATION: 7/5 - 11/2 as a fraction
7/5 - 11/2 = (?)
7/5 - 11/2 = [(7 x 2) - (11 x 5)]/(5 x 2)
= (14 - 55)/10
= -41/10
7/5 - 11/2 = -41/10
7/5 minus 11/2 as a fraction is -41/10.

where
7/5 is a improper fraction as a minuend,
11/2 is a improper fraction as a subtrahend,
-41/10 is the difference between 7/5 and 11/2.

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7/5 minus 11/2 as a decimal
7/5 - 11/2 = -41/10
-41/10 = -4.1
(7/5) - (11/2) as a decimal is -4.1

where
-4.1 is the difference between 7/5 and 11/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/2 from 7/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/5 minus 11/2.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 14/10 - 55/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (14/1 - 55/1)
= 1/10 x (14 - 55)

step 7Simplify the above expression further:
= 1/10 x -41
= -41/10
7/5 - 11/2 = -41/10

Hence,
7/5 minus 11/2 as a fraction is -41/10.

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

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

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

step 3 Simplify and rewrite the fraction:
= (14 - 55)/10
7/5 - 11/2 = -41/10

Hence,
7/5 minus 11/2 in fraction is -41/10