5/8 - 18/17 as a fraction

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

Summary: 5/8 minus 18/17 = -59/136
Since both fractions have unequal denominators, 5/8 minus 18/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 18/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 17. 136 is the LCM of 8 and 17. Multiplying the LCM 136 with the numerators and denominators of both fractions (5/8 x 136/136) - (18/17 x 136/136), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 85/136 and for 18/17 is 144/136. By simplifying this fraction subtraction 85/136 - 144/136, it becomes -59/136.

CALCULATION: 5/8 - 18/17 as a fraction
5/8 - 18/17 = (?)
5/8 - 18/17 = [(5 x 17) - (18 x 8)]/(8 x 17)
= (85 - 144)/136
= -59/136
5/8 - 18/17 = -59/136
5/8 minus 18/17 as a fraction is -59/136.

where
5/8 is a proper fraction as a minuend,
18/17 is a improper fraction as a subtrahend,
-59/136 is the difference between 5/8 and 18/17.

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5/8 minus 18/17 as a decimal
5/8 - 18/17 = -59/136
-59/136 = -0.4338
(5/8) - (18/17) as a decimal is -0.4338

where
-0.4338 is the difference between 5/8 and 18/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/17 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 18/17.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 5/8 and 18/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 18/17 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 18/17:
The LCM of 8 and 17 is 136.

step 4 Write the fractions 5/8 and 18/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 - 18/17
= [(5 x 136)/(8 x 136)] - [(18 x 136)/(17 x 136)]

step 5 Simplify the expression to have common denominator:
= 85/136 - 144/136

step 6 Take the common values out and rewrite the above expression like the below:
= 1/136 x (85/1 - 144/1)
= 1/136 x (85 - 144)

step 7Simplify the above expression further:
= 1/136 x -59
= -59/136
5/8 - 18/17 = -59/136

Hence,
5/8 minus 18/17 as a fraction is -59/136.

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

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

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

step 3 Simplify and rewrite the fraction:
= (85 - 144)/136
5/8 - 18/17 = -59/136

Hence,
5/8 minus 18/17 in fraction is -59/136