17/5 - 9/8 as a fraction

Learn how to find what is 17/5 minus 9/8 in fraction form just in a few minutes. We have covered the easiest method to write 17/5 - 9/8 as a fraction and decimal.

Summary: 17/5 minus 9/8 = 91/40
Since both fractions have unequal denominators, 17/5 minus 9/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/5 and fraction 9/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 8. 40 is the LCM of 5 and 8. Multiplying the LCM 40 with the numerators and denominators of both fractions (17/5 x 40/40) - (9/8 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 136/40 and for 9/8 is 45/40. By simplifying this fraction subtraction 136/40 - 45/40, it becomes 91/40.

CALCULATION: 17/5 - 9/8 as a fraction
17/5 - 9/8 = (?)
17/5 - 9/8 = [(17 x 8) - (9 x 5)]/(5 x 8)
= (136 - 45)/40
= 91/40
17/5 - 9/8 = 91/40
17/5 minus 9/8 as a fraction is 91/40.

where
17/5 is a improper fraction as a minuend,
9/8 is a improper fraction as a subtrahend,
91/40 is the difference between 17/5 and 9/8.

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17/5 minus 9/8 as a decimal
17/5 - 9/8 = 91/40
91/40 = 2.275
(17/5) - (9/8) as a decimal is 2.275

where
2.275 is the difference between 17/5 and 9/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/8 from 17/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/5 minus 9/8.
1. LCM method
2. Cross multiplication method.

(17/5) - (9/8) using LCM Method:
What is 17/5 minus 9/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 9/8

What to be found?
(17/5) - (9/8) = ?
Find what's the difference between 17/5 and 9/8.

step 2 Compare the denominators of fractions 17/5 and 9/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/5 and 9/8 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 17/5 and 9/8:
The LCM of 5 and 8 is 40.

step 4 Write the fractions 17/5 and 9/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 - 9/8
= [(17 x 40)/(5 x 40)] - [(9 x 40)/(8 x 40)]

step 5 Simplify the expression to have common denominator:
= 136/40 - 45/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (136/1 - 45/1)
= 1/40 x (136 - 45)

step 7Simplify the above expression further:
= 1/40 x 91
= 91/40
17/5 - 9/8 = 91/40

Hence,
17/5 minus 9/8 as a fraction is 91/40.

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17/5 - 9/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 9/8

What to be found?
(17/5)-(9/8) = ?
Find what's the difference between 17/5 and 9/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 8), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 8) and rewrite the equation as like the below:
= (17 x 8) - (9 x 5)/(5 x 8)

step 3 Simplify and rewrite the fraction:
= (136 - 45)/40
17/5 - 9/8 = 91/40

Hence,
17/5 minus 9/8 in fraction is 91/40