16/9 - 17/16 as a fraction

Learn how to find what is 16/9 minus 17/16 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 - 17/16 as a fraction and decimal.

Summary: 16/9 minus 17/16 = 103/144
Since both fractions have unequal denominators, 16/9 minus 17/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 17/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 16. 144 is the LCM of 9 and 16. Multiplying the LCM 144 with the numerators and denominators of both fractions (16/9 x 144/144) - (17/16 x 144/144), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 256/144 and for 17/16 is 153/144. By simplifying this fraction subtraction 256/144 - 153/144, it becomes 103/144.

Pie Chart Representation: 16/9 - 17/16 = 103/144

CALCULATION: 16/9 - 17/16 as a fraction
16/9 - 17/16 = (?)
16/9 - 17/16 = [(16 x 16) - (17 x 9)]/(9 x 16)
= (256 - 153)/144
= 103/144
16/9 - 17/16 = 103/144
16/9 minus 17/16 as a fraction is 103/144.

where
16/9 is a improper fraction as a minuend,
17/16 is a improper fraction as a subtrahend,
103/144 is the difference between 16/9 and 17/16.

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16/9 minus 17/16 as a decimal
16/9 - 17/16 = 103/144
103/144 = 0.7153
(16/9) - (17/16) as a decimal is 0.7153

where
0.7153 is the difference between 16/9 and 17/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/16 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 17/16.
1. LCM method
2. Cross multiplication method.

(16/9) - (17/16) using LCM Method:
What is 16/9 minus 17/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 17/16

What to be found?
(16/9) - (17/16) = ?
Find what's the difference between 16/9 and 17/16.

step 2 Compare the denominators of fractions 16/9 and 17/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/9 and 17/16 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 17/16:
The LCM of 9 and 16 is 144.

step 4 Write the fractions 16/9 and 17/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 - 17/16
= [(16 x 144)/(9 x 144)] - [(17 x 144)/(16 x 144)]

step 5 Simplify the expression to have common denominator:
= 256/144 - 153/144

step 6 Take the common values out and rewrite the above expression like the below:
= 1/144 x (256/1 - 153/1)
= 1/144 x (256 - 153)

step 7Simplify the above expression further:
= 1/144 x 103
= 103/144
16/9 - 17/16 = 103/144

Hence,
16/9 minus 17/16 as a fraction is 103/144.

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16/9 - 17/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 17/16

What to be found?
(16/9)-(17/16) = ?
Find what's the difference between 16/9 and 17/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 16), find the product of numerator of Fraction B and denominator of Fraction A (17 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 16) and rewrite the equation as like the below:
= (16 x 16) - (17 x 9)/(9 x 16)

step 3 Simplify and rewrite the fraction:
= (256 - 153)/144
16/9 - 17/16 = 103/144

Hence,
16/9 minus 17/16 in fraction is 103/144