2/9 - 2/15 as a fraction

Learn how to find what is 2/9 minus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 2/15 as a fraction and decimal.

Summary: 2/9 minus 2/15 = 4/45
Since both fractions have unequal denominators, 2/9 minus 2/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 2/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 15. 45 is the LCM of 9 and 15. Multiplying the LCM 45 with the numerators and denominators of both fractions (2/9 x 45/45) - (2/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 10/45 and for 2/15 is 6/45. By simplifying this fraction subtraction 10/45 - 6/45, it becomes 4/45.

Pie Chart Representation: 2/9 - 2/15 = 4/45

CALCULATION: 2/9 - 2/15 as a fraction
2/9 - 2/15 = (?)
2/9 - 2/15 = [(2 x 15) - (2 x 9)]/(9 x 15)
= (30 - 18)/135
= 12/135
= (3 x 4)/(3 x 45)
= 4/45
2/9 - 2/15 = 4/45
2/9 minus 2/15 as a fraction is 4/45.

where
2/9 is a proper fraction as a minuend,
2/15 is a proper fraction as a subtrahend,
4/45 is the difference between 2/9 and 2/15.

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2/9 minus 2/15 as a decimal
2/9 - 2/15 = 4/45
4/45 = 0.0889
(2/9) - (2/15) as a decimal is 0.0889

where
0.0889 is the difference between 2/9 and 2/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/15 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 2/15.
1. LCM method
2. Cross multiplication method.

(2/9) - (2/15) using LCM Method:
What is 2/9 minus 2/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 2/15

What to be found?
(2/9) - (2/15) = ?
Find what's the difference between 2/9 and 2/15.

step 2 Compare the denominators of fractions 2/9 and 2/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 2/15 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 2/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 2/9 and 2/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 2/15
= [(2 x 45)/(9 x 45)] - [(2 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 10/45 - 6/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (10/1 - 6/1)
= 1/45 x (10 - 6)

step 7Simplify the above expression further:
= 1/45 x 4
= 4/45
2/9 - 2/15 = 4/45

Hence,
2/9 minus 2/15 as a fraction is 4/45.

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2/9 - 2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 2/15

What to be found?
(2/9)-(2/15) = ?
Find what's the difference between 2/9 and 2/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 15), 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 15) and rewrite the equation as like the below:
= (2 x 15) - (2 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (30 - 18)/135
= 12/135
= 4/45
2/9 - 2/15 = 4/45

Hence,
2/9 minus 2/15 in fraction is 4/45