3/1 - 5/11 as a fraction

Learn how to find what is 3/1 minus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 3/1 - 5/11 as a fraction and decimal.

Summary: 3/1 minus 5/11 = 28/11
Since both fractions have unequal denominators, 3/1 minus 5/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/1 and fraction 5/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 11. 11 is the LCM of 1 and 11. Multiplying the LCM 11 with the numerators and denominators of both fractions (3/1 x 11/11) - (5/11 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 3/1 is 33/11 and for 5/11 is 5/11. By simplifying this fraction subtraction 33/11 - 5/11, it becomes 28/11.

CALCULATION: 3/1 - 5/11 as a fraction
3/1 - 5/11 = (?)
3/1 - 5/11 = [(3 x 11) - (5 x 1)]/(1 x 11)
= (33 - 5)/11
= 28/11
3/1 - 5/11 = 28/11
3/1 minus 5/11 as a fraction is 28/11.

where
3/1 is a improper fraction as a minuend,
5/11 is a proper fraction as a subtrahend,
28/11 is the difference between 3/1 and 5/11.

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3/1 minus 5/11 as a decimal
3/1 - 5/11 = 28/11
28/11 = 2.5455
(3/1) - (5/11) as a decimal is 2.5455

where
2.5455 is the difference between 3/1 and 5/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/11 from 3/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/1 minus 5/11.
1. LCM method
2. Cross multiplication method.

(3/1) - (5/11) using LCM Method:
What is 3/1 minus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 5/11

What to be found?
(3/1) - (5/11) = ?
Find what's the difference between 3/1 and 5/11.

step 2 Compare the denominators of fractions 3/1 and 5/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/1 and 5/11 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 3/1 and 5/11:
The LCM of 1 and 11 is 11.

step 4 Write the fractions 3/1 and 5/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/1 - 5/11
= [(3 x 11)/(1 x 11)] - [(5 x 11)/(11 x 11)]

step 5 Simplify the expression to have common denominator:
= 33/11 - 5/11

step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (33/1 - 5/1)
= 1/11 x (33 - 5)

step 7Simplify the above expression further:
= 1/11 x 28
= 28/11
3/1 - 5/11 = 28/11

Hence,
3/1 minus 5/11 as a fraction is 28/11.

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3/1 - 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 5/11

What to be found?
(3/1)-(5/11) = ?
Find what's the difference between 3/1 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 11) and rewrite the equation as like the below:
= (3 x 11) - (5 x 1)/(1 x 11)

step 3 Simplify and rewrite the fraction:
= (33 - 5)/11
3/1 - 5/11 = 28/11

Hence,
3/1 minus 5/11 in fraction is 28/11