11/2 - 9 as a fraction

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

Summary: 11/2 minus 9 = -7/2
Since both fractions have unequal denominators, 11/2 minus 9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (11/2 x 2/2) - (9 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 11/2 and for 9 is 18/2. By simplifying this fraction subtraction 11/2 - 18/2, it becomes -7/2.

CALCULATION: 11/2 - 9 as a fraction
11/2 - 9 = (?)
11/2 - 9/1 = [(11 x 1) - (9 x 2)]/(2 x 1)
= (11 - 18)/2
= -7/2
11/2 - 9 = -7/2
11/2 minus 9 as a fraction is -7/2.

where
11/2 is a improper fraction as a minuend,
9 is a whole number as a subtrahend,
-7/2 is the difference between 11/2 and 9.

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11/2 minus 9 as a decimal
11/2 - 9 = -7/2
-7/2 = -3.5
(11/2) - (9) as a decimal is -3.5

where
-3.5 is the difference between 11/2 and 9.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 9 from 11/2. use any one of the following methods to find the equivalent fraction for 11/2 minus 9.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 11/2 - 18/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (11/1 - 18/1)
= 1/2 x (11 - 18)

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

Hence,
11/2 minus 9 as a fraction is -7/2.

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

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

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

step 3 Simplify and rewrite the fraction:
= (11 - 18)/2
11/2 - 9 = -7/2

Hence,
11/2 minus 9 in fraction is -7/2