13/3 - 13/11 as a fraction

Learn how to find what is 13/3 minus 13/11 in fraction form just in a few minutes. We have covered the easiest method to write 13/3 - 13/11 as a fraction and decimal.

Summary: 13/3 minus 13/11 = 104/33
Since both fractions have unequal denominators, 13/3 minus 13/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 13/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 11. 33 is the LCM of 3 and 11. Multiplying the LCM 33 with the numerators and denominators of both fractions (13/3 x 33/33) - (13/11 x 33/33), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 143/33 and for 13/11 is 39/33. By simplifying this fraction subtraction 143/33 - 39/33, it becomes 104/33.

CALCULATION: 13/3 - 13/11 as a fraction
13/3 - 13/11 = (?)
13/3 - 13/11 = [(13 x 11) - (13 x 3)]/(3 x 11)
= (143 - 39)/33
= 104/33
13/3 - 13/11 = 104/33
13/3 minus 13/11 as a fraction is 104/33.

where
13/3 is a improper fraction as a minuend,
13/11 is a improper fraction as a subtrahend,
104/33 is the difference between 13/3 and 13/11.

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13/3 minus 13/11 as a decimal
13/3 - 13/11 = 104/33
104/33 = 3.1515
(13/3) - (13/11) as a decimal is 3.1515

where
3.1515 is the difference between 13/3 and 13/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/11 from 13/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/3 minus 13/11.
1. LCM method
2. Cross multiplication method.

(13/3) - (13/11) using LCM Method:
What is 13/3 minus 13/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 13/11

What to be found?
(13/3) - (13/11) = ?
Find what's the difference between 13/3 and 13/11.

step 2 Compare the denominators of fractions 13/3 and 13/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/3 and 13/11 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 13/3 and 13/11:
The LCM of 3 and 11 is 33.

step 4 Write the fractions 13/3 and 13/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 - 13/11
= [(13 x 33)/(3 x 33)] - [(13 x 33)/(11 x 33)]

step 5 Simplify the expression to have common denominator:
= 143/33 - 39/33

step 6 Take the common values out and rewrite the above expression like the below:
= 1/33 x (143/1 - 39/1)
= 1/33 x (143 - 39)

step 7Simplify the above expression further:
= 1/33 x 104
= 104/33
13/3 - 13/11 = 104/33

Hence,
13/3 minus 13/11 as a fraction is 104/33.

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13/3 - 13/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 13/11

What to be found?
(13/3)-(13/11) = ?
Find what's the difference between 13/3 and 13/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 11), find the product of numerator of Fraction B and denominator of Fraction A (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 11) and rewrite the equation as like the below:
= (13 x 11) - (13 x 3)/(3 x 11)

step 3 Simplify and rewrite the fraction:
= (143 - 39)/33
13/3 - 13/11 = 104/33

Hence,
13/3 minus 13/11 in fraction is 104/33