5/2 - 17/8 as a fraction

Learn how to find what is 5/2 minus 17/8 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 17/8 as a fraction and decimal.

Summary: 5/2 minus 17/8 = 3/8
Since both fractions have unequal denominators, 5/2 minus 17/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 17/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 8. 8 is the LCM of 2 and 8. Multiplying the LCM 8 with the numerators and denominators of both fractions (5/2 x 8/8) - (17/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 20/8 and for 17/8 is 17/8. By simplifying this fraction subtraction 20/8 - 17/8, it becomes 3/8.

Pie Chart Representation: 5/2 - 17/8 = 3/8

CALCULATION: 5/2 - 17/8 as a fraction
5/2 - 17/8 = (?)
5/2 - 17/8 = [(5 x 8) - (17 x 2)]/(2 x 8)
= (40 - 34)/16
= 6/16
= (2 x 3)/(2 x 8)
= 3/8
5/2 - 17/8 = 3/8
5/2 minus 17/8 as a fraction is 3/8.

where
5/2 is a improper fraction as a minuend,
17/8 is a improper fraction as a subtrahend,
3/8 is the difference between 5/2 and 17/8.

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5/2 minus 17/8 as a decimal
5/2 - 17/8 = 3/8
3/8 = 0.375
(5/2) - (17/8) as a decimal is 0.375

where
0.375 is the difference between 5/2 and 17/8.

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

(5/2) - (17/8) using LCM Method:
What is 5/2 minus 17/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 17/8

What to be found?
(5/2) - (17/8) = ?
Find what's the difference between 5/2 and 17/8.

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

step 4 Write the fractions 5/2 and 17/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 - 17/8
= [(5 x 8)/(2 x 8)] - [(17 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 20/8 - 17/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (20/1 - 17/1)
= 1/8 x (20 - 17)

step 7Simplify the above expression further:
= 1/8 x 3
= 3/8
5/2 - 17/8 = 3/8

Hence,
5/2 minus 17/8 as a fraction is 3/8.

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5/2 - 17/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 17/8

What to be found?
(5/2)-(17/8) = ?
Find what's the difference between 5/2 and 17/8.

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

step 3 Simplify and rewrite the fraction:
= (40 - 34)/16
= 6/16
= 3/8
5/2 - 17/8 = 3/8

Hence,
5/2 minus 17/8 in fraction is 3/8