4/9 - 17/18 as a fraction

Learn how to find what is 4/9 minus 17/18 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 - 17/18 as a fraction and decimal.

Summary: 4/9 minus 17/18 = -1/2
Since both fractions have unequal denominators, 4/9 minus 17/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 17/18 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 (4/9 x 18/18) - (17/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 8/18 and for 17/18 is 17/18. By simplifying this fraction subtraction 8/18 - 17/18, it becomes -9/18.

CALCULATION: 4/9 - 17/18 as a fraction
4/9 - 17/18 = (?)
4/9 - 17/18 = [(4 x 18) - (17 x 9)]/(9 x 18)
= (72 - 153)/162
= -81/162
= (81 x -1)/(81 x 2)
= -1/2
4/9 - 17/18 = -1/2
4/9 minus 17/18 as a fraction is -1/2.

where
4/9 is a proper fraction as a minuend,
17/18 is a proper fraction as a subtrahend,
-1/2 is the difference between 4/9 and 17/18.

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4/9 minus 17/18 as a decimal
4/9 - 17/18 = -1/2
-1/2 = -0.5
(4/9) - (17/18) as a decimal is -0.5

where
-0.5 is the difference between 4/9 and 17/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/18 from 4/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/9 minus 17/18.
1. LCM method
2. Cross multiplication method.

(4/9) - (17/18) using LCM Method:
What is 4/9 minus 17/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 17/18

What to be found?
(4/9) - (17/18) = ?
Find what's the difference between 4/9 and 17/18.

step 2 Compare the denominators of fractions 4/9 and 17/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 17/18 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 4/9 and 17/18:
The LCM of 9 and 18 is 18.

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

step 5 Simplify the expression to have common denominator:
= 8/18 - 17/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (8/1 - 17/1)
= 1/18 x (8 - 17)

step 7Simplify the above expression further:
= 1/18 x -9
= -9/18
= -1/2
4/9 - 17/18 = -1/2

Hence,
4/9 minus 17/18 as a fraction is -1/2.

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4/9 - 17/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 17/18

What to be found?
(4/9)-(17/18) = ?
Find what's the difference between 4/9 and 17/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 18), find the product of numerator of Fraction B and denominator of Fraction A (17 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:
= (4 x 18) - (17 x 9)/(9 x 18)

step 3 Simplify and rewrite the fraction:
= (72 - 153)/162
= -81/162
= -1/2
4/9 - 17/18 = -1/2

Hence,
4/9 minus 17/18 in fraction is -1/2