1/2 - 9/11 as a fraction

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

Summary: 1/2 minus 9/11 = -7/22
Since both fractions have unequal denominators, 1/2 minus 9/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 9/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 11. 22 is the LCM of 2 and 11. Multiplying the LCM 22 with the numerators and denominators of both fractions (1/2 x 22/22) - (9/11 x 22/22), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 11/22 and for 9/11 is 18/22. By simplifying this fraction subtraction 11/22 - 18/22, it becomes -7/22.

CALCULATION: 1/2 - 9/11 as a fraction
1/2 - 9/11 = (?)
1/2 - 9/11 = [(1 x 11) - (9 x 2)]/(2 x 11)
= (11 - 18)/22
= -7/22
1/2 - 9/11 = -7/22
1/2 minus 9/11 as a fraction is -7/22.

where
1/2 is a proper fraction as a minuend,
9/11 is a proper fraction as a subtrahend,
-7/22 is the difference between 1/2 and 9/11.

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1/2 minus 9/11 as a decimal
1/2 - 9/11 = -7/22
-7/22 = -0.3182
(1/2) - (9/11) as a decimal is -0.3182

where
-0.3182 is the difference between 1/2 and 9/11.

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

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

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

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

step 2 Compare the denominators of fractions 1/2 and 9/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 9/11 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 1/2 and 9/11:
The LCM of 2 and 11 is 22.

step 4 Write the fractions 1/2 and 9/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 - 9/11
= [(1 x 22)/(2 x 22)] - [(9 x 22)/(11 x 22)]

step 5 Simplify the expression to have common denominator:
= 11/22 - 18/22

step 6 Take the common values out and rewrite the above expression like the below:
= 1/22 x (11/1 - 18/1)
= 1/22 x (11 - 18)

step 7Simplify the above expression further:
= 1/22 x -7
= -7/22
1/2 - 9/11 = -7/22

Hence,
1/2 minus 9/11 as a fraction is -7/22.

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

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

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

step 3 Simplify and rewrite the fraction:
= (11 - 18)/22
1/2 - 9/11 = -7/22

Hence,
1/2 minus 9/11 in fraction is -7/22