5/9 - 2/3 as a fraction

Learn how to find what is 5/9 minus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 2/3 as a fraction and decimal.

Summary: 5/9 minus 2/3 = -1/9
Since both fractions have unequal denominators, 5/9 minus 2/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 2/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 3. 9 is the LCM of 9 and 3. Multiplying the LCM 9 with the numerators and denominators of both fractions (5/9 x 9/9) - (2/3 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 5/9 and for 2/3 is 6/9. By simplifying this fraction subtraction 5/9 - 6/9, it becomes -1/9.

CALCULATION: 5/9 - 2/3 as a fraction
5/9 - 2/3 = (?)
5/9 - 2/3 = [(5 x 3) - (2 x 9)]/(9 x 3)
= (15 - 18)/27
= -3/27
= (3 x -1)/(3 x 9)
= -1/9
5/9 - 2/3 = -1/9
5/9 minus 2/3 as a fraction is -1/9.

where
5/9 is a proper fraction as a minuend,
2/3 is a proper fraction as a subtrahend,
-1/9 is the difference between 5/9 and 2/3.

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5/9 minus 2/3 as a decimal
5/9 - 2/3 = -1/9
-1/9 = -0.1111
(5/9) - (2/3) as a decimal is -0.1111

where
-0.1111 is the difference between 5/9 and 2/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/3 from 5/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/9 minus 2/3.
1. LCM method
2. Cross multiplication method.

(5/9) - (2/3) using LCM Method:
What is 5/9 minus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 2/3

What to be found?
(5/9) - (2/3) = ?
Find what's the difference between 5/9 and 2/3.

step 2 Compare the denominators of fractions 5/9 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 2/3 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 5/9 and 2/3:
The LCM of 9 and 3 is 9.

step 4 Write the fractions 5/9 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 - 2/3
= [(5 x 9)/(9 x 9)] - [(2 x 9)/(3 x 9)]

step 5 Simplify the expression to have common denominator:
= 5/9 - 6/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (5/1 - 6/1)
= 1/9 x (5 - 6)

step 7Simplify the above expression further:
= 1/9 x -1
= -1/9
5/9 - 2/3 = -1/9

Hence,
5/9 minus 2/3 as a fraction is -1/9.

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5/9 - 2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 2/3

What to be found?
(5/9)-(2/3) = ?
Find what's the difference between 5/9 and 2/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 3) and rewrite the equation as like the below:
= (5 x 3) - (2 x 9)/(9 x 3)

step 3 Simplify and rewrite the fraction:
= (15 - 18)/27
= -3/27
= -1/9
5/9 - 2/3 = -1/9

Hence,
5/9 minus 2/3 in fraction is -1/9