11 - 14/13 as a fraction

Learn how to find what is 11 minus 14/13 in fraction form just in a few minutes. We have covered the easiest method to write 11 - 14/13 as a fraction and decimal.

Summary: 11 minus 14/13 = 129/13
Since both fractions have unequal denominators, 11 minus 14/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11 and fraction 14/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (11 x 13/13) - (14/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 11 is 143/13 and for 14/13 is 14/13. By simplifying this fraction subtraction 143/13 - 14/13, it becomes 129/13.

CALCULATION: 11 - 14/13 as a fraction
11 - 14/13 = (?)
11/1 - 14/13 = [(11 x 13) - (14 x 1)]/(1 x 13)
= (143 - 14)/13
= 129/13
11 - 14/13 = 129/13
11 minus 14/13 as a fraction is 129/13.

where
11 is a whole number as a minuend,
14/13 is a improper fraction as a subtrahend,
129/13 is the difference between 11 and 14/13.

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11 minus 14/13 as a decimal
11 - 14/13 = 129/13
129/13 = 9.9231
(11) - (14/13) as a decimal is 9.9231

where
9.9231 is the difference between 11 and 14/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 14/13 from 11. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11 minus 14/13.
1. LCM method
2. Cross multiplication method.

(11) - (14/13) using LCM Method:
What is 11 minus 14/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 14/13

What to be found?
(11) - (14/13) = ?
Find what's the difference between 11 and 14/13.

step 2 Compare the denominators of fractions 11 and 14/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11 and 14/13 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 14/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 11 and 14/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11 - 14/13
= [(11 x 13)/(1 x 13)] - [(14 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 143/13 - 14/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (143/1 - 14/1)
= 1/13 x (143 - 14)

step 7Simplify the above expression further:
= 1/13 x 129
= 129/13
11 - 14/13 = 129/13

Hence,
11 minus 14/13 as a fraction is 129/13.

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11 - 14/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 14/13

What to be found?
(11)-(14/13) = ?
Find what's the difference between 11 and 14/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 13), find the product of numerator of Fraction B and denominator of Fraction A (14 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (11 x 13) - (14 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (143 - 14)/13
11 - 14/13 = 129/13

Hence,
11 minus 14/13 in fraction is 129/13