11 - 13/9 as a fraction

Learn how to find what is 11 minus 13/9 in fraction form just in a few minutes. We have covered the easiest method to write 11 - 13/9 as a fraction and decimal.

Summary: 11 minus 13/9 = 86/9
Since both fractions have unequal denominators, 11 minus 13/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11 and fraction 13/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 9. 9 is the LCM of 1 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (11 x 9/9) - (13/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 11 is 99/9 and for 13/9 is 13/9. By simplifying this fraction subtraction 99/9 - 13/9, it becomes 86/9.

CALCULATION: 11 - 13/9 as a fraction
11 - 13/9 = (?)
11/1 - 13/9 = [(11 x 9) - (13 x 1)]/(1 x 9)
= (99 - 13)/9
= 86/9
11 - 13/9 = 86/9
11 minus 13/9 as a fraction is 86/9.

where
11 is a whole number as a minuend,
13/9 is a improper fraction as a subtrahend,
86/9 is the difference between 11 and 13/9.

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11 minus 13/9 as a decimal
11 - 13/9 = 86/9
86/9 = 9.5556
(11) - (13/9) as a decimal is 9.5556

where
9.5556 is the difference between 11 and 13/9.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/9 from 11. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11 minus 13/9.
1. LCM method
2. Cross multiplication method.

(11) - (13/9) using LCM Method:
What is 11 minus 13/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 13/9

What to be found?
(11) - (13/9) = ?
Find what's the difference between 11 and 13/9.

step 2 Compare the denominators of fractions 11 and 13/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11 and 13/9 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 and 13/9:
The LCM of 1 and 9 is 9.

step 4 Write the fractions 11 and 13/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11 - 13/9
= [(11 x 9)/(1 x 9)] - [(13 x 9)/(9 x 9)]

step 5 Simplify the expression to have common denominator:
= 99/9 - 13/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (99/1 - 13/1)
= 1/9 x (99 - 13)

step 7Simplify the above expression further:
= 1/9 x 86
= 86/9
11 - 13/9 = 86/9

Hence,
11 minus 13/9 as a fraction is 86/9.

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11 - 13/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 13/9

What to be found?
(11)-(13/9) = ?
Find what's the difference between 11 and 13/9.

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 (13 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 9) and rewrite the equation as like the below:
= (11 x 9) - (13 x 1)/(1 x 9)

step 3 Simplify and rewrite the fraction:
= (99 - 13)/9
11 - 13/9 = 86/9

Hence,
11 minus 13/9 in fraction is 86/9