17/8 - 17/2 as a fraction

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

Summary: 17/8 minus 17/2 = -51/8
Since both fractions have unequal denominators, 17/8 minus 17/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 17/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 2. 8 is the LCM of 8 and 2. Multiplying the LCM 8 with the numerators and denominators of both fractions (17/8 x 8/8) - (17/2 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 17/8 and for 17/2 is 68/8. By simplifying this fraction subtraction 17/8 - 68/8, it becomes -51/8.

CALCULATION: 17/8 - 17/2 as a fraction
17/8 - 17/2 = (?)
17/8 - 17/2 = [(17 x 2) - (17 x 8)]/(8 x 2)
= (34 - 136)/16
= -102/16
= (2 x -51)/(2 x 8)
= -51/8
17/8 - 17/2 = -51/8
17/8 minus 17/2 as a fraction is -51/8.

where
17/8 is a improper fraction as a minuend,
17/2 is a improper fraction as a subtrahend,
-51/8 is the difference between 17/8 and 17/2.

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17/8 minus 17/2 as a decimal
17/8 - 17/2 = -51/8
-51/8 = -6.375
(17/8) - (17/2) as a decimal is -6.375

where
-6.375 is the difference between 17/8 and 17/2.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 17/8 - 68/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (17/1 - 68/1)
= 1/8 x (17 - 68)

step 7Simplify the above expression further:
= 1/8 x -51
= -51/8
17/8 - 17/2 = -51/8

Hence,
17/8 minus 17/2 as a fraction is -51/8.

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

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

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

step 3 Simplify and rewrite the fraction:
= (34 - 136)/16
= -102/16
= -51/8
17/8 - 17/2 = -51/8

Hence,
17/8 minus 17/2 in fraction is -51/8