16/9 - 13/15 as a fraction

Learn how to find what is 16/9 minus 13/15 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 - 13/15 as a fraction and decimal.

Summary: 16/9 minus 13/15 = 41/45
Since both fractions have unequal denominators, 16/9 minus 13/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 13/15 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 (16/9 x 45/45) - (13/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 80/45 and for 13/15 is 39/45. By simplifying this fraction subtraction 80/45 - 39/45, it becomes 41/45.

Pie Chart Representation: 16/9 - 13/15 = 41/45

CALCULATION: 16/9 - 13/15 as a fraction
16/9 - 13/15 = (?)
16/9 - 13/15 = [(16 x 15) - (13 x 9)]/(9 x 15)
= (240 - 117)/135
= 123/135
= (3 x 41)/(3 x 45)
= 41/45
16/9 - 13/15 = 41/45
16/9 minus 13/15 as a fraction is 41/45.

where
16/9 is a improper fraction as a minuend,
13/15 is a proper fraction as a subtrahend,
41/45 is the difference between 16/9 and 13/15.

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16/9 minus 13/15 as a decimal
16/9 - 13/15 = 41/45
41/45 = 0.9111
(16/9) - (13/15) as a decimal is 0.9111

where
0.9111 is the difference between 16/9 and 13/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/15 from 16/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/9 minus 13/15.
1. LCM method
2. Cross multiplication method.

(16/9) - (13/15) using LCM Method:
What is 16/9 minus 13/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 13/15

What to be found?
(16/9) - (13/15) = ?
Find what's the difference between 16/9 and 13/15.

step 2 Compare the denominators of fractions 16/9 and 13/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/9 and 13/15 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 16/9 and 13/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 16/9 and 13/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 - 13/15
= [(16 x 45)/(9 x 45)] - [(13 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 80/45 - 39/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (80/1 - 39/1)
= 1/45 x (80 - 39)

step 7Simplify the above expression further:
= 1/45 x 41
= 41/45
16/9 - 13/15 = 41/45

Hence,
16/9 minus 13/15 as a fraction is 41/45.

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16/9 - 13/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 13/15

What to be found?
(16/9)-(13/15) = ?
Find what's the difference between 16/9 and 13/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 15), find the product of numerator of Fraction B and denominator of Fraction A (13 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:
= (16 x 15) - (13 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (240 - 117)/135
= 123/135
= 41/45
16/9 - 13/15 = 41/45

Hence,
16/9 minus 13/15 in fraction is 41/45