5 - 13/5 as a fraction

Learn how to find what is 5 minus 13/5 in fraction form just in a few minutes. We have covered the easiest method to write 5 - 13/5 as a fraction and decimal.

Summary: 5 minus 13/5 = 12/5
Since both fractions have unequal denominators, 5 minus 13/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5 and fraction 13/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 5. 5 is the LCM of 1 and 5. Multiplying the LCM 5 with the numerators and denominators of both fractions (5 x 5/5) - (13/5 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 5 is 25/5 and for 13/5 is 13/5. By simplifying this fraction subtraction 25/5 - 13/5, it becomes 12/5.

CALCULATION: 5 - 13/5 as a fraction
5 - 13/5 = (?)
5/1 - 13/5 = [(5 x 5) - (13 x 1)]/(1 x 5)
= (25 - 13)/5
= 12/5
5 - 13/5 = 12/5
5 minus 13/5 as a fraction is 12/5.

where
5 is a whole number as a minuend,
13/5 is a improper fraction as a subtrahend,
12/5 is the difference between 5 and 13/5.

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5 minus 13/5 as a decimal
5 - 13/5 = 12/5
12/5 = 2.4
(5) - (13/5) as a decimal is 2.4

where
2.4 is the difference between 5 and 13/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/5 from 5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5 minus 13/5.
1. LCM method
2. Cross multiplication method.

(5) - (13/5) using LCM Method:
What is 5 minus 13/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 13/5

What to be found?
(5) - (13/5) = ?
Find what's the difference between 5 and 13/5.

step 2 Compare the denominators of fractions 5 and 13/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5 and 13/5 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 5 and 13/5:
The LCM of 1 and 5 is 5.

step 4 Write the fractions 5 and 13/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5 - 13/5
= [(5 x 5)/(1 x 5)] - [(13 x 5)/(5 x 5)]

step 5 Simplify the expression to have common denominator:
= 25/5 - 13/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (25/1 - 13/1)
= 1/5 x (25 - 13)

step 7Simplify the above expression further:
= 1/5 x 12
= 12/5
5 - 13/5 = 12/5

Hence,
5 minus 13/5 as a fraction is 12/5.

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5 - 13/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 13/5

What to be found?
(5)-(13/5) = ?
Find what's the difference between 5 and 13/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 5), 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 5) and rewrite the equation as like the below:
= (5 x 5) - (13 x 1)/(1 x 5)

step 3 Simplify and rewrite the fraction:
= (25 - 13)/5
5 - 13/5 = 12/5

Hence,
5 minus 13/5 in fraction is 12/5