2/9 - 3/11 as a fraction

Learn how to find what is 2/9 minus 3/11 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 3/11 as a fraction and decimal.

Summary: 2/9 minus 3/11 = -5/99
Since both fractions have unequal denominators, 2/9 minus 3/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 3/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 11. 99 is the LCM of 9 and 11. Multiplying the LCM 99 with the numerators and denominators of both fractions (2/9 x 99/99) - (3/11 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 22/99 and for 3/11 is 27/99. By simplifying this fraction subtraction 22/99 - 27/99, it becomes -5/99.

CALCULATION: 2/9 - 3/11 as a fraction
2/9 - 3/11 = (?)
2/9 - 3/11 = [(2 x 11) - (3 x 9)]/(9 x 11)
= (22 - 27)/99
= -5/99
2/9 - 3/11 = -5/99
2/9 minus 3/11 as a fraction is -5/99.

where
2/9 is a proper fraction as a minuend,
3/11 is a proper fraction as a subtrahend,
-5/99 is the difference between 2/9 and 3/11.

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2/9 minus 3/11 as a decimal
2/9 - 3/11 = -5/99
-5/99 = -0.0505
(2/9) - (3/11) as a decimal is -0.0505

where
-0.0505 is the difference between 2/9 and 3/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/11 from 2/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/9 minus 3/11.
1. LCM method
2. Cross multiplication method.

(2/9) - (3/11) using LCM Method:
What is 2/9 minus 3/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/11

What to be found?
(2/9) - (3/11) = ?
Find what's the difference between 2/9 and 3/11.

step 2 Compare the denominators of fractions 2/9 and 3/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 3/11 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 2/9 and 3/11:
The LCM of 9 and 11 is 99.

step 4 Write the fractions 2/9 and 3/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 3/11
= [(2 x 99)/(9 x 99)] - [(3 x 99)/(11 x 99)]

step 5 Simplify the expression to have common denominator:
= 22/99 - 27/99

step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (22/1 - 27/1)
= 1/99 x (22 - 27)

step 7Simplify the above expression further:
= 1/99 x -5
= -5/99
2/9 - 3/11 = -5/99

Hence,
2/9 minus 3/11 as a fraction is -5/99.

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2/9 - 3/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/11

What to be found?
(2/9)-(3/11) = ?
Find what's the difference between 2/9 and 3/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 11), find the product of numerator of Fraction B and denominator of Fraction A (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 11) and rewrite the equation as like the below:
= (2 x 11) - (3 x 9)/(9 x 11)

step 3 Simplify and rewrite the fraction:
= (22 - 27)/99
2/9 - 3/11 = -5/99

Hence,
2/9 minus 3/11 in fraction is -5/99