2/5 - 5/9 as a fraction

Learn how to find what is 2/5 minus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 5/9 as a fraction and decimal.

Summary: 2/5 minus 5/9 = -7/45
Since both fractions have unequal denominators, 2/5 minus 5/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 5/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 9. 45 is the LCM of 5 and 9. Multiplying the LCM 45 with the numerators and denominators of both fractions (2/5 x 45/45) - (5/9 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 18/45 and for 5/9 is 25/45. By simplifying this fraction subtraction 18/45 - 25/45, it becomes -7/45.

CALCULATION: 2/5 - 5/9 as a fraction
2/5 - 5/9 = (?)
2/5 - 5/9 = [(2 x 9) - (5 x 5)]/(5 x 9)
= (18 - 25)/45
= -7/45
2/5 - 5/9 = -7/45
2/5 minus 5/9 as a fraction is -7/45.

where
2/5 is a proper fraction as a minuend,
5/9 is a proper fraction as a subtrahend,
-7/45 is the difference between 2/5 and 5/9.

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2/5 minus 5/9 as a decimal
2/5 - 5/9 = -7/45
-7/45 = -0.1556
(2/5) - (5/9) as a decimal is -0.1556

where
-0.1556 is the difference between 2/5 and 5/9.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/9 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 5/9.
1. LCM method
2. Cross multiplication method.

(2/5) - (5/9) using LCM Method:
What is 2/5 minus 5/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 5/9

What to be found?
(2/5) - (5/9) = ?
Find what's the difference between 2/5 and 5/9.

step 2 Compare the denominators of fractions 2/5 and 5/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 5/9 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 5/9:
The LCM of 5 and 9 is 45.

step 4 Write the fractions 2/5 and 5/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 5/9
= [(2 x 45)/(5 x 45)] - [(5 x 45)/(9 x 45)]

step 5 Simplify the expression to have common denominator:
= 18/45 - 25/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (18/1 - 25/1)
= 1/45 x (18 - 25)

step 7Simplify the above expression further:
= 1/45 x -7
= -7/45
2/5 - 5/9 = -7/45

Hence,
2/5 minus 5/9 as a fraction is -7/45.

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2/5 - 5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 5/9

What to be found?
(2/5)-(5/9) = ?
Find what's the difference between 2/5 and 5/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
= (2 x 9) - (5 x 5)/(5 x 9)

step 3 Simplify and rewrite the fraction:
= (18 - 25)/45
2/5 - 5/9 = -7/45

Hence,
2/5 minus 5/9 in fraction is -7/45