11/2 - 1/9 as a fraction

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

Summary: 11/2 minus 1/9 = 97/18
Since both fractions have unequal denominators, 11/2 minus 1/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 1/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 9. 18 is the LCM of 2 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (11/2 x 18/18) - (1/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 99/18 and for 1/9 is 2/18. By simplifying this fraction subtraction 99/18 - 2/18, it becomes 97/18.

CALCULATION: 11/2 - 1/9 as a fraction
11/2 - 1/9 = (?)
11/2 - 1/9 = [(11 x 9) - (1 x 2)]/(2 x 9)
= (99 - 2)/18
= 97/18
11/2 - 1/9 = 97/18
11/2 minus 1/9 as a fraction is 97/18.

where
11/2 is a improper fraction as a minuend,
1/9 is a proper fraction as a subtrahend,
97/18 is the difference between 11/2 and 1/9.

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11/2 minus 1/9 as a decimal
11/2 - 1/9 = 97/18
97/18 = 5.3889
(11/2) - (1/9) as a decimal is 5.3889

where
5.3889 is the difference between 11/2 and 1/9.

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

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

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

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

step 2 Compare the denominators of fractions 11/2 and 1/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/2 and 1/9 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 1/9:
The LCM of 2 and 9 is 18.

step 4 Write the fractions 11/2 and 1/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 - 1/9
= [(11 x 18)/(2 x 18)] - [(1 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 99/18 - 2/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (99/1 - 2/1)
= 1/18 x (99 - 2)

step 7Simplify the above expression further:
= 1/18 x 97
= 97/18
11/2 - 1/9 = 97/18

Hence,
11/2 minus 1/9 as a fraction is 97/18.

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

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

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

step 3 Simplify and rewrite the fraction:
= (99 - 2)/18
11/2 - 1/9 = 97/18

Hence,
11/2 minus 1/9 in fraction is 97/18