18/7 - 5/17 as a fraction

Learn how to find what is 18/7 minus 5/17 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 - 5/17 as a fraction and decimal.

Summary: 18/7 minus 5/17 = 271/119
Since both fractions have unequal denominators, 18/7 minus 5/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 5/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 17. 119 is the LCM of 7 and 17. Multiplying the LCM 119 with the numerators and denominators of both fractions (18/7 x 119/119) - (5/17 x 119/119), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 306/119 and for 5/17 is 35/119. By simplifying this fraction subtraction 306/119 - 35/119, it becomes 271/119.

CALCULATION: 18/7 - 5/17 as a fraction
18/7 - 5/17 = (?)
18/7 - 5/17 = [(18 x 17) - (5 x 7)]/(7 x 17)
= (306 - 35)/119
= 271/119
18/7 - 5/17 = 271/119
18/7 minus 5/17 as a fraction is 271/119.

where
18/7 is a improper fraction as a minuend,
5/17 is a proper fraction as a subtrahend,
271/119 is the difference between 18/7 and 5/17.

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18/7 minus 5/17 as a decimal
18/7 - 5/17 = 271/119
271/119 = 2.2773
(18/7) - (5/17) as a decimal is 2.2773

where
2.2773 is the difference between 18/7 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 18/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 18/7 minus 5/17.
1. LCM method
2. Cross multiplication method.

(18/7) - (5/17) using LCM Method:
What is 18/7 minus 5/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 5/17

What to be found?
(18/7) - (5/17) = ?
Find what's the difference between 18/7 and 5/17.

step 2 Compare the denominators of fractions 18/7 and 5/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 18/7 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 18/7 and 5/17:
The LCM of 7 and 17 is 119.

step 4 Write the fractions 18/7 and 5/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 - 5/17
= [(18 x 119)/(7 x 119)] - [(5 x 119)/(17 x 119)]

step 5 Simplify the expression to have common denominator:
= 306/119 - 35/119

step 6 Take the common values out and rewrite the above expression like the below:
= 1/119 x (306/1 - 35/1)
= 1/119 x (306 - 35)

step 7Simplify the above expression further:
= 1/119 x 271
= 271/119
18/7 - 5/17 = 271/119

Hence,
18/7 minus 5/17 as a fraction is 271/119.

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18/7 - 5/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 5/17

What to be found?
(18/7)-(5/17) = ?
Find what's the difference between 18/7 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 7), and find the product of both denominators of Fraction A and Fraction B (7 x 17) and rewrite the equation as like the below:
= (18 x 17) - (5 x 7)/(7 x 17)

step 3 Simplify and rewrite the fraction:
= (306 - 35)/119
18/7 - 5/17 = 271/119

Hence,
18/7 minus 5/17 in fraction is 271/119