3/5 - 13 as a fraction

Learn how to find what is 3/5 minus 13 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 13 as a fraction and decimal.

Summary: 3/5 minus 13 = -62/5
Since both fractions have unequal denominators, 3/5 minus 13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (3/5 x 5/5) - (13 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 3/5 and for 13 is 65/5. By simplifying this fraction subtraction 3/5 - 65/5, it becomes -62/5.

CALCULATION: 3/5 - 13 as a fraction
3/5 - 13 = (?)
3/5 - 13/1 = [(3 x 1) - (13 x 5)]/(5 x 1)
= (3 - 65)/5
= -62/5
3/5 - 13 = -62/5
3/5 minus 13 as a fraction is -62/5.

where
3/5 is a proper fraction as a minuend,
13 is a whole number as a subtrahend,
-62/5 is the difference between 3/5 and 13.

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3/5 minus 13 as a decimal
3/5 - 13 = -62/5
-62/5 = -12.4
(3/5) - (13) as a decimal is -12.4

where
-12.4 is the difference between 3/5 and 13.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 13 from 3/5. use any one of the following methods to find the equivalent fraction for 3/5 minus 13.
1. LCM method
2. Cross multiplication method.

(3/5) - (13) using LCM Method:
What is 3/5 minus 13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 13/1

What to be found?
(3/5) - (13) = ?
Find what's the difference between 3/5 and 13.

step 2 Compare the denominators of fractions 3/5 and 13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 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 3/5 and 13:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 3/5 and 13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 13
= [(3 x 5)/(5 x 5)] - [(13 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 3/5 - 65/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (3/1 - 65/1)
= 1/5 x (3 - 65)

step 7Simplify the above expression further:
= 1/5 x -62
= -62/5
3/5 - 13 = -62/5

Hence,
3/5 minus 13 as a fraction is -62/5.

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3/5 - 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 13/1

What to be found?
(3/5)-(13) = ?
Find what's the difference between 3/5 and 13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (13 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (3 x 1) - (13 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (3 - 65)/5
3/5 - 13 = -62/5

Hence,
3/5 minus 13 in fraction is -62/5