17/6 - 1/18 as a fraction

Learn how to find what is 17/6 minus 1/18 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 - 1/18 as a fraction and decimal.

Summary: 17/6 minus 1/18 = 25/9
Since both fractions have unequal denominators, 17/6 minus 1/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 1/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 18. 18 is the LCM of 6 and 18. Multiplying the LCM 18 with the numerators and denominators of both fractions (17/6 x 18/18) - (1/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 51/18 and for 1/18 is 1/18. By simplifying this fraction subtraction 51/18 - 1/18, it becomes 50/18.

CALCULATION: 17/6 - 1/18 as a fraction
17/6 - 1/18 = (?)
17/6 - 1/18 = [(17 x 18) - (1 x 6)]/(6 x 18)
= (306 - 6)/108
= 300/108
= (12 x 25)/(12 x 9)
= 25/9
17/6 - 1/18 = 25/9
17/6 minus 1/18 as a fraction is 25/9.

where
17/6 is a improper fraction as a minuend,
1/18 is a proper fraction as a subtrahend,
25/9 is the difference between 17/6 and 1/18.

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17/6 minus 1/18 as a decimal
17/6 - 1/18 = 25/9
25/9 = 2.7778
(17/6) - (1/18) as a decimal is 2.7778

where
2.7778 is the difference between 17/6 and 1/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/18 from 17/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/6 minus 1/18.
1. LCM method
2. Cross multiplication method.

(17/6) - (1/18) using LCM Method:
What is 17/6 minus 1/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 1/18

What to be found?
(17/6) - (1/18) = ?
Find what's the difference between 17/6 and 1/18.

step 2 Compare the denominators of fractions 17/6 and 1/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/6 and 1/18 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 17/6 and 1/18:
The LCM of 6 and 18 is 18.

step 4 Write the fractions 17/6 and 1/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 - 1/18
= [(17 x 18)/(6 x 18)] - [(1 x 18)/(18 x 18)]

step 5 Simplify the expression to have common denominator:
= 51/18 - 1/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (51/1 - 1/1)
= 1/18 x (51 - 1)

step 7Simplify the above expression further:
= 1/18 x 50
= 50/18
= 25/9
17/6 - 1/18 = 25/9

Hence,
17/6 minus 1/18 as a fraction is 25/9.

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17/6 - 1/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 1/18

What to be found?
(17/6)-(1/18) = ?
Find what's the difference between 17/6 and 1/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 18), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 18) and rewrite the equation as like the below:
= (17 x 18) - (1 x 6)/(6 x 18)

step 3 Simplify and rewrite the fraction:
= (306 - 6)/108
= 300/108
= 25/9
17/6 - 1/18 = 25/9

Hence,
17/6 minus 1/18 in fraction is 25/9