5 - 12/13 as a fraction

Learn how to find what is 5 minus 12/13 in fraction form just in a few minutes. We have covered the easiest method to write 5 - 12/13 as a fraction and decimal.

Summary: 5 minus 12/13 = 53/13
Since both fractions have unequal denominators, 5 minus 12/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5 and fraction 12/13 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 (5 x 13/13) - (12/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 5 is 65/13 and for 12/13 is 12/13. By simplifying this fraction subtraction 65/13 - 12/13, it becomes 53/13.

CALCULATION: 5 - 12/13 as a fraction
5 - 12/13 = (?)
5/1 - 12/13 = [(5 x 13) - (12 x 1)]/(1 x 13)
= (65 - 12)/13
= 53/13
5 - 12/13 = 53/13
5 minus 12/13 as a fraction is 53/13.

where
5 is a whole number as a minuend,
12/13 is a proper fraction as a subtrahend,
53/13 is the difference between 5 and 12/13.

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5 minus 12/13 as a decimal
5 - 12/13 = 53/13
53/13 = 4.0769
(5) - (12/13) as a decimal is 4.0769

where
4.0769 is the difference between 5 and 12/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 12/13 from 5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5 minus 12/13.
1. LCM method
2. Cross multiplication method.

(5) - (12/13) using LCM Method:
What is 5 minus 12/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 12/13

What to be found?
(5) - (12/13) = ?
Find what's the difference between 5 and 12/13.

step 2 Compare the denominators of fractions 5 and 12/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5 and 12/13 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 5 and 12/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 5 and 12/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5 - 12/13
= [(5 x 13)/(1 x 13)] - [(12 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 65/13 - 12/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (65/1 - 12/1)
= 1/13 x (65 - 12)

step 7Simplify the above expression further:
= 1/13 x 53
= 53/13
5 - 12/13 = 53/13

Hence,
5 minus 12/13 as a fraction is 53/13.

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5 - 12/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 12/13

What to be found?
(5)-(12/13) = ?
Find what's the difference between 5 and 12/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 13), find the product of numerator of Fraction B and denominator of Fraction A (12 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:
= (5 x 13) - (12 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (65 - 12)/13
5 - 12/13 = 53/13

Hence,
5 minus 12/13 in fraction is 53/13