17/9 - 7/18 as a fraction

Learn how to find what is 17/9 minus 7/18 in fraction form just in a few minutes. We have covered the easiest method to write 17/9 - 7/18 as a fraction and decimal.

Summary: 17/9 minus 7/18 = 3/2
Since both fractions have unequal denominators, 17/9 minus 7/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/9 and fraction 7/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 18. 18 is the LCM of 9 and 18. Multiplying the LCM 18 with the numerators and denominators of both fractions (17/9 x 18/18) - (7/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 17/9 is 34/18 and for 7/18 is 7/18. By simplifying this fraction subtraction 34/18 - 7/18, it becomes 27/18.

CALCULATION: 17/9 - 7/18 as a fraction
17/9 - 7/18 = (?)
17/9 - 7/18 = [(17 x 18) - (7 x 9)]/(9 x 18)
= (306 - 63)/162
= 243/162
= (81 x 3)/(81 x 2)
= 3/2
17/9 - 7/18 = 3/2
17/9 minus 7/18 as a fraction is 3/2.

where
17/9 is a improper fraction as a minuend,
7/18 is a proper fraction as a subtrahend,
3/2 is the difference between 17/9 and 7/18.

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17/9 minus 7/18 as a decimal
17/9 - 7/18 = 3/2
3/2 = 1.5
(17/9) - (7/18) as a decimal is 1.5

where
1.5 is the difference between 17/9 and 7/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/18 from 17/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/9 minus 7/18.
1. LCM method
2. Cross multiplication method.

(17/9) - (7/18) using LCM Method:
What is 17/9 minus 7/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 7/18

What to be found?
(17/9) - (7/18) = ?
Find what's the difference between 17/9 and 7/18.

step 2 Compare the denominators of fractions 17/9 and 7/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/9 and 7/18 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 17/9 and 7/18:
The LCM of 9 and 18 is 18.

step 4 Write the fractions 17/9 and 7/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/9 - 7/18
= [(17 x 18)/(9 x 18)] - [(7 x 18)/(18 x 18)]

step 5 Simplify the expression to have common denominator:
= 34/18 - 7/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (34/1 - 7/1)
= 1/18 x (34 - 7)

step 7Simplify the above expression further:
= 1/18 x 27
= 27/18
= 3/2
17/9 - 7/18 = 3/2

Hence,
17/9 minus 7/18 as a fraction is 3/2.

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17/9 - 7/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 7/18

What to be found?
(17/9)-(7/18) = ?
Find what's the difference between 17/9 and 7/18.

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 (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 18) and rewrite the equation as like the below:
= (17 x 18) - (7 x 9)/(9 x 18)

step 3 Simplify and rewrite the fraction:
= (306 - 63)/162
= 243/162
= 3/2
17/9 - 7/18 = 3/2

Hence,
17/9 minus 7/18 in fraction is 3/2