10/9 - 11/15 as a fraction

Learn how to find what is 10/9 minus 11/15 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 - 11/15 as a fraction and decimal.

Summary: 10/9 minus 11/15 = 17/45
Since both fractions have unequal denominators, 10/9 minus 11/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 11/15 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 (10/9 x 45/45) - (11/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 50/45 and for 11/15 is 33/45. By simplifying this fraction subtraction 50/45 - 33/45, it becomes 17/45.

Pie Chart Representation: 10/9 - 11/15 = 17/45

CALCULATION: 10/9 - 11/15 as a fraction
10/9 - 11/15 = (?)
10/9 - 11/15 = [(10 x 15) - (11 x 9)]/(9 x 15)
= (150 - 99)/135
= 51/135
= (3 x 17)/(3 x 45)
= 17/45
10/9 - 11/15 = 17/45
10/9 minus 11/15 as a fraction is 17/45.

where
10/9 is a improper fraction as a minuend,
11/15 is a proper fraction as a subtrahend,
17/45 is the difference between 10/9 and 11/15.

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10/9 minus 11/15 as a decimal
10/9 - 11/15 = 17/45
17/45 = 0.3778
(10/9) - (11/15) as a decimal is 0.3778

where
0.3778 is the difference between 10/9 and 11/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/15 from 10/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/9 minus 11/15.
1. LCM method
2. Cross multiplication method.

(10/9) - (11/15) using LCM Method:
What is 10/9 minus 11/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 11/15

What to be found?
(10/9) - (11/15) = ?
Find what's the difference between 10/9 and 11/15.

step 2 Compare the denominators of fractions 10/9 and 11/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/9 and 11/15 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 10/9 and 11/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 10/9 and 11/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 - 11/15
= [(10 x 45)/(9 x 45)] - [(11 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 50/45 - 33/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (50/1 - 33/1)
= 1/45 x (50 - 33)

step 7Simplify the above expression further:
= 1/45 x 17
= 17/45
10/9 - 11/15 = 17/45

Hence,
10/9 minus 11/15 as a fraction is 17/45.

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10/9 - 11/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 11/15

What to be found?
(10/9)-(11/15) = ?
Find what's the difference between 10/9 and 11/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 15), find the product of numerator of Fraction B and denominator of Fraction A (11 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:
= (10 x 15) - (11 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (150 - 99)/135
= 51/135
= 17/45
10/9 - 11/15 = 17/45

Hence,
10/9 minus 11/15 in fraction is 17/45