14/9 - 8/17 as a fraction

Learn how to find what is 14/9 minus 8/17 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 - 8/17 as a fraction and decimal.

Summary: 14/9 minus 8/17 = 166/153
Since both fractions have unequal denominators, 14/9 minus 8/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 14/9 and fraction 8/17 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 (14/9 x 153/153) - (8/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 14/9 is 238/153 and for 8/17 is 72/153. By simplifying this fraction subtraction 238/153 - 72/153, it becomes 166/153.

CALCULATION: 14/9 - 8/17 as a fraction
14/9 - 8/17 = (?)
14/9 - 8/17 = [(14 x 17) - (8 x 9)]/(9 x 17)
= (238 - 72)/153
= 166/153
14/9 - 8/17 = 166/153
14/9 minus 8/17 as a fraction is 166/153.

where
14/9 is a improper fraction as a minuend,
8/17 is a proper fraction as a subtrahend,
166/153 is the difference between 14/9 and 8/17.

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14/9 minus 8/17 as a decimal
14/9 - 8/17 = 166/153
166/153 = 1.085
(14/9) - (8/17) as a decimal is 1.085

where
1.085 is the difference between 14/9 and 8/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/17 from 14/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 14/9 minus 8/17.
1. LCM method
2. Cross multiplication method.

(14/9) - (8/17) using LCM Method:
What is 14/9 minus 8/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 8/17

What to be found?
(14/9) - (8/17) = ?
Find what's the difference between 14/9 and 8/17.

step 2 Compare the denominators of fractions 14/9 and 8/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 14/9 and 8/17 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 14/9 and 8/17:
The LCM of 9 and 17 is 153.

step 4 Write the fractions 14/9 and 8/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 - 8/17
= [(14 x 153)/(9 x 153)] - [(8 x 153)/(17 x 153)]

step 5 Simplify the expression to have common denominator:
= 238/153 - 72/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (238/1 - 72/1)
= 1/153 x (238 - 72)

step 7Simplify the above expression further:
= 1/153 x 166
= 166/153
14/9 - 8/17 = 166/153

Hence,
14/9 minus 8/17 as a fraction is 166/153.

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14/9 - 8/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 8/17

What to be found?
(14/9)-(8/17) = ?
Find what's the difference between 14/9 and 8/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 17), find the product of numerator of Fraction B and denominator of Fraction A (8 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:
= (14 x 17) - (8 x 9)/(9 x 17)

step 3 Simplify and rewrite the fraction:
= (238 - 72)/153
14/9 - 8/17 = 166/153

Hence,
14/9 minus 8/17 in fraction is 166/153