5/8 - 17/18 as a fraction

Learn how to find what is 5/8 minus 17/18 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 - 17/18 as a fraction and decimal.

Summary: 5/8 minus 17/18 = -23/72
Since both fractions have unequal denominators, 5/8 minus 17/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 17/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 18. 72 is the LCM of 8 and 18. Multiplying the LCM 72 with the numerators and denominators of both fractions (5/8 x 72/72) - (17/18 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 45/72 and for 17/18 is 68/72. By simplifying this fraction subtraction 45/72 - 68/72, it becomes -23/72.

CALCULATION: 5/8 - 17/18 as a fraction
5/8 - 17/18 = (?)
5/8 - 17/18 = [(5 x 18) - (17 x 8)]/(8 x 18)
= (90 - 136)/144
= -46/144
= (2 x -23)/(2 x 72)
= -23/72
5/8 - 17/18 = -23/72
5/8 minus 17/18 as a fraction is -23/72.

where
5/8 is a proper fraction as a minuend,
17/18 is a proper fraction as a subtrahend,
-23/72 is the difference between 5/8 and 17/18.

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5/8 minus 17/18 as a decimal
5/8 - 17/18 = -23/72
-23/72 = -0.3194
(5/8) - (17/18) as a decimal is -0.3194

where
-0.3194 is the difference between 5/8 and 17/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/18 from 5/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/8 minus 17/18.
1. LCM method
2. Cross multiplication method.

(5/8) - (17/18) using LCM Method:
What is 5/8 minus 17/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 17/18

What to be found?
(5/8) - (17/18) = ?
Find what's the difference between 5/8 and 17/18.

step 2 Compare the denominators of fractions 5/8 and 17/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 17/18 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 5/8 and 17/18:
The LCM of 8 and 18 is 72.

step 4 Write the fractions 5/8 and 17/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 - 17/18
= [(5 x 72)/(8 x 72)] - [(17 x 72)/(18 x 72)]

step 5 Simplify the expression to have common denominator:
= 45/72 - 68/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (45/1 - 68/1)
= 1/72 x (45 - 68)

step 7Simplify the above expression further:
= 1/72 x -23
= -23/72
5/8 - 17/18 = -23/72

Hence,
5/8 minus 17/18 as a fraction is -23/72.

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5/8 - 17/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 17/18

What to be found?
(5/8)-(17/18) = ?
Find what's the difference between 5/8 and 17/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 18), 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 18) and rewrite the equation as like the below:
= (5 x 18) - (17 x 8)/(8 x 18)

step 3 Simplify and rewrite the fraction:
= (90 - 136)/144
= -46/144
= -23/72
5/8 - 17/18 = -23/72

Hence,
5/8 minus 17/18 in fraction is -23/72