2/9 - 3/13 as a fraction

Learn how to find what is 2/9 minus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 3/13 as a fraction and decimal.

Summary: 2/9 minus 3/13 = -1/117
Since both fractions have unequal denominators, 2/9 minus 3/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 3/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 13. 117 is the LCM of 9 and 13. Multiplying the LCM 117 with the numerators and denominators of both fractions (2/9 x 117/117) - (3/13 x 117/117), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 26/117 and for 3/13 is 27/117. By simplifying this fraction subtraction 26/117 - 27/117, it becomes -1/117.

CALCULATION: 2/9 - 3/13 as a fraction
2/9 - 3/13 = (?)
2/9 - 3/13 = [(2 x 13) - (3 x 9)]/(9 x 13)
= (26 - 27)/117
= -1/117
2/9 - 3/13 = -1/117
2/9 minus 3/13 as a fraction is -1/117.

where
2/9 is a proper fraction as a minuend,
3/13 is a proper fraction as a subtrahend,
-1/117 is the difference between 2/9 and 3/13.

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2/9 minus 3/13 as a decimal
2/9 - 3/13 = -1/117
-1/117 = -0.0085
(2/9) - (3/13) as a decimal is -0.0085

where
-0.0085 is the difference between 2/9 and 3/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/13 from 2/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/9 minus 3/13.
1. LCM method
2. Cross multiplication method.

(2/9) - (3/13) using LCM Method:
What is 2/9 minus 3/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/13

What to be found?
(2/9) - (3/13) = ?
Find what's the difference between 2/9 and 3/13.

step 2 Compare the denominators of fractions 2/9 and 3/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 3/13 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 2/9 and 3/13:
The LCM of 9 and 13 is 117.

step 4 Write the fractions 2/9 and 3/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 3/13
= [(2 x 117)/(9 x 117)] - [(3 x 117)/(13 x 117)]

step 5 Simplify the expression to have common denominator:
= 26/117 - 27/117

step 6 Take the common values out and rewrite the above expression like the below:
= 1/117 x (26/1 - 27/1)
= 1/117 x (26 - 27)

step 7Simplify the above expression further:
= 1/117 x -1
= -1/117
2/9 - 3/13 = -1/117

Hence,
2/9 minus 3/13 as a fraction is -1/117.

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2/9 - 3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/13

What to be found?
(2/9)-(3/13) = ?
Find what's the difference between 2/9 and 3/13.

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 (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 13) and rewrite the equation as like the below:
= (2 x 13) - (3 x 9)/(9 x 13)

step 3 Simplify and rewrite the fraction:
= (26 - 27)/117
2/9 - 3/13 = -1/117

Hence,
2/9 minus 3/13 in fraction is -1/117