11/1 - 9/2 as a fraction

Learn how to find what is 11/1 minus 9/2 in fraction form just in a few minutes. We have covered the easiest method to write 11/1 - 9/2 as a fraction and decimal.

Summary: 11/1 minus 9/2 = 13/2
Since both fractions have unequal denominators, 11/1 minus 9/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/1 and fraction 9/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 2. 2 is the LCM of 1 and 2. Multiplying the LCM 2 with the numerators and denominators of both fractions (11/1 x 2/2) - (9/2 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 11/1 is 22/2 and for 9/2 is 9/2. By simplifying this fraction subtraction 22/2 - 9/2, it becomes 13/2.

CALCULATION: 11/1 - 9/2 as a fraction
11/1 - 9/2 = (?)
11/1 - 9/2 = [(11 x 2) - (9 x 1)]/(1 x 2)
= (22 - 9)/2
= 13/2
11/1 - 9/2 = 13/2
11/1 minus 9/2 as a fraction is 13/2.

where
11/1 is a improper fraction as a minuend,
9/2 is a improper fraction as a subtrahend,
13/2 is the difference between 11/1 and 9/2.

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11/1 minus 9/2 as a decimal
11/1 - 9/2 = 13/2
13/2 = 6.5
(11/1) - (9/2) as a decimal is 6.5

where
6.5 is the difference between 11/1 and 9/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/2 from 11/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/1 minus 9/2.
1. LCM method
2. Cross multiplication method.

(11/1) - (9/2) using LCM Method:
What is 11/1 minus 9/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 9/2

What to be found?
(11/1) - (9/2) = ?
Find what's the difference between 11/1 and 9/2.

step 2 Compare the denominators of fractions 11/1 and 9/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/1 and 9/2 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 11/1 and 9/2:
The LCM of 1 and 2 is 2.

step 4 Write the fractions 11/1 and 9/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/1 - 9/2
= [(11 x 2)/(1 x 2)] - [(9 x 2)/(2 x 2)]

step 5 Simplify the expression to have common denominator:
= 22/2 - 9/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (22/1 - 9/1)
= 1/2 x (22 - 9)

step 7Simplify the above expression further:
= 1/2 x 13
= 13/2
11/1 - 9/2 = 13/2

Hence,
11/1 minus 9/2 as a fraction is 13/2.

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11/1 - 9/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 9/2

What to be found?
(11/1)-(9/2) = ?
Find what's the difference between 11/1 and 9/2.

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 (9 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 2) and rewrite the equation as like the below:
= (11 x 2) - (9 x 1)/(1 x 2)

step 3 Simplify and rewrite the fraction:
= (22 - 9)/2
11/1 - 9/2 = 13/2

Hence,
11/1 minus 9/2 in fraction is 13/2