18/5 - 5/17 as a fraction

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

Summary: 18/5 minus 5/17 = 281/85
Since both fractions have unequal denominators, 18/5 minus 5/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 18/5 and fraction 5/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 17. 85 is the LCM of 5 and 17. Multiplying the LCM 85 with the numerators and denominators of both fractions (18/5 x 85/85) - (5/17 x 85/85), and simplify further in order to have the common denominator. So the equivalent fraction for 18/5 is 306/85 and for 5/17 is 25/85. By simplifying this fraction subtraction 306/85 - 25/85, it becomes 281/85.

CALCULATION: 18/5 - 5/17 as a fraction
18/5 - 5/17 = (?)
18/5 - 5/17 = [(18 x 17) - (5 x 5)]/(5 x 17)
= (306 - 25)/85
= 281/85
18/5 - 5/17 = 281/85
18/5 minus 5/17 as a fraction is 281/85.

where
18/5 is a improper fraction as a minuend,
5/17 is a proper fraction as a subtrahend,
281/85 is the difference between 18/5 and 5/17.

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18/5 minus 5/17 as a decimal
18/5 - 5/17 = 281/85
281/85 = 3.3059
(18/5) - (5/17) as a decimal is 3.3059

where
3.3059 is the difference between 18/5 and 5/17.

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

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

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

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

step 2 Compare the denominators of fractions 18/5 and 5/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 18/5 and 5/17 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 18/5 and 5/17:
The LCM of 5 and 17 is 85.

step 4 Write the fractions 18/5 and 5/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/5 - 5/17
= [(18 x 85)/(5 x 85)] - [(5 x 85)/(17 x 85)]

step 5 Simplify the expression to have common denominator:
= 306/85 - 25/85

step 6 Take the common values out and rewrite the above expression like the below:
= 1/85 x (306/1 - 25/1)
= 1/85 x (306 - 25)

step 7Simplify the above expression further:
= 1/85 x 281
= 281/85
18/5 - 5/17 = 281/85

Hence,
18/5 minus 5/17 as a fraction is 281/85.

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

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

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

step 3 Simplify and rewrite the fraction:
= (306 - 25)/85
18/5 - 5/17 = 281/85

Hence,
18/5 minus 5/17 in fraction is 281/85