2/5 - 2/13 as a fraction

Learn how to find what is 2/5 minus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 2/13 as a fraction and decimal.

Summary: 2/5 minus 2/13 = 16/65
Since both fractions have unequal denominators, 2/5 minus 2/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 2/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 13. 65 is the LCM of 5 and 13. Multiplying the LCM 65 with the numerators and denominators of both fractions (2/5 x 65/65) - (2/13 x 65/65), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 26/65 and for 2/13 is 10/65. By simplifying this fraction subtraction 26/65 - 10/65, it becomes 16/65.

Pie Chart Representation: 2/5 - 2/13 = 16/65

CALCULATION: 2/5 - 2/13 as a fraction
2/5 - 2/13 = (?)
2/5 - 2/13 = [(2 x 13) - (2 x 5)]/(5 x 13)
= (26 - 10)/65
= 16/65
2/5 - 2/13 = 16/65
2/5 minus 2/13 as a fraction is 16/65.

where
2/5 is a proper fraction as a minuend,
2/13 is a proper fraction as a subtrahend,
16/65 is the difference between 2/5 and 2/13.

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2/5 minus 2/13 as a decimal
2/5 - 2/13 = 16/65
16/65 = 0.2462
(2/5) - (2/13) as a decimal is 0.2462

where
0.2462 is the difference between 2/5 and 2/13.

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

(2/5) - (2/13) using LCM Method:
What is 2/5 minus 2/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/13

What to be found?
(2/5) - (2/13) = ?
Find what's the difference between 2/5 and 2/13.

step 2 Compare the denominators of fractions 2/5 and 2/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 2/13 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 2/5 and 2/13:
The LCM of 5 and 13 is 65.

step 4 Write the fractions 2/5 and 2/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 2/13
= [(2 x 65)/(5 x 65)] - [(2 x 65)/(13 x 65)]

step 5 Simplify the expression to have common denominator:
= 26/65 - 10/65

step 6 Take the common values out and rewrite the above expression like the below:
= 1/65 x (26/1 - 10/1)
= 1/65 x (26 - 10)

step 7Simplify the above expression further:
= 1/65 x 16
= 16/65
2/5 - 2/13 = 16/65

Hence,
2/5 minus 2/13 as a fraction is 16/65.

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2/5 - 2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/13

What to be found?
(2/5)-(2/13) = ?
Find what's the difference between 2/5 and 2/13.

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

step 3 Simplify and rewrite the fraction:
= (26 - 10)/65
2/5 - 2/13 = 16/65

Hence,
2/5 minus 2/13 in fraction is 16/65