17/8 - 2/9 as a fraction

Learn how to find what is 17/8 minus 2/9 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 - 2/9 as a fraction and decimal.

Summary: 17/8 minus 2/9 = 137/72
Since both fractions have unequal denominators, 17/8 minus 2/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 2/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 9. 72 is the LCM of 8 and 9. Multiplying the LCM 72 with the numerators and denominators of both fractions (17/8 x 72/72) - (2/9 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 153/72 and for 2/9 is 16/72. By simplifying this fraction subtraction 153/72 - 16/72, it becomes 137/72.

CALCULATION: 17/8 - 2/9 as a fraction
17/8 - 2/9 = (?)
17/8 - 2/9 = [(17 x 9) - (2 x 8)]/(8 x 9)
= (153 - 16)/72
= 137/72
17/8 - 2/9 = 137/72
17/8 minus 2/9 as a fraction is 137/72.

where
17/8 is a improper fraction as a minuend,
2/9 is a proper fraction as a subtrahend,
137/72 is the difference between 17/8 and 2/9.

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17/8 minus 2/9 as a decimal
17/8 - 2/9 = 137/72
137/72 = 1.9028
(17/8) - (2/9) as a decimal is 1.9028

where
1.9028 is the difference between 17/8 and 2/9.

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

(17/8) - (2/9) using LCM Method:
What is 17/8 minus 2/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 2/9

What to be found?
(17/8) - (2/9) = ?
Find what's the difference between 17/8 and 2/9.

step 2 Compare the denominators of fractions 17/8 and 2/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/8 and 2/9 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 17/8 and 2/9:
The LCM of 8 and 9 is 72.

step 4 Write the fractions 17/8 and 2/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 - 2/9
= [(17 x 72)/(8 x 72)] - [(2 x 72)/(9 x 72)]

step 5 Simplify the expression to have common denominator:
= 153/72 - 16/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (153/1 - 16/1)
= 1/72 x (153 - 16)

step 7Simplify the above expression further:
= 1/72 x 137
= 137/72
17/8 - 2/9 = 137/72

Hence,
17/8 minus 2/9 as a fraction is 137/72.

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17/8 - 2/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 2/9

What to be found?
(17/8)-(2/9) = ?
Find what's the difference between 17/8 and 2/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 9), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 9) and rewrite the equation as like the below:
= (17 x 9) - (2 x 8)/(8 x 9)

step 3 Simplify and rewrite the fraction:
= (153 - 16)/72
17/8 - 2/9 = 137/72

Hence,
17/8 minus 2/9 in fraction is 137/72