16/9 - 2/17 as a fraction

Learn how to find what is 16/9 minus 2/17 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 - 2/17 as a fraction and decimal.

Summary: 16/9 minus 2/17 = 254/153
Since both fractions have unequal denominators, 16/9 minus 2/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 2/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 17. 153 is the LCM of 9 and 17. Multiplying the LCM 153 with the numerators and denominators of both fractions (16/9 x 153/153) - (2/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 272/153 and for 2/17 is 18/153. By simplifying this fraction subtraction 272/153 - 18/153, it becomes 254/153.

CALCULATION: 16/9 - 2/17 as a fraction
16/9 - 2/17 = (?)
16/9 - 2/17 = [(16 x 17) - (2 x 9)]/(9 x 17)
= (272 - 18)/153
= 254/153
16/9 - 2/17 = 254/153
16/9 minus 2/17 as a fraction is 254/153.

where
16/9 is a improper fraction as a minuend,
2/17 is a proper fraction as a subtrahend,
254/153 is the difference between 16/9 and 2/17.

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16/9 minus 2/17 as a decimal
16/9 - 2/17 = 254/153
254/153 = 1.6601
(16/9) - (2/17) as a decimal is 1.6601

where
1.6601 is the difference between 16/9 and 2/17.

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

(16/9) - (2/17) using LCM Method:
What is 16/9 minus 2/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 2/17

What to be found?
(16/9) - (2/17) = ?
Find what's the difference between 16/9 and 2/17.

step 2 Compare the denominators of fractions 16/9 and 2/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/9 and 2/17 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 2/17:
The LCM of 9 and 17 is 153.

step 4 Write the fractions 16/9 and 2/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 - 2/17
= [(16 x 153)/(9 x 153)] - [(2 x 153)/(17 x 153)]

step 5 Simplify the expression to have common denominator:
= 272/153 - 18/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (272/1 - 18/1)
= 1/153 x (272 - 18)

step 7Simplify the above expression further:
= 1/153 x 254
= 254/153
16/9 - 2/17 = 254/153

Hence,
16/9 minus 2/17 as a fraction is 254/153.

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16/9 - 2/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 2/17

What to be found?
(16/9)-(2/17) = ?
Find what's the difference between 16/9 and 2/17.

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

step 3 Simplify and rewrite the fraction:
= (272 - 18)/153
16/9 - 2/17 = 254/153

Hence,
16/9 minus 2/17 in fraction is 254/153