8/9 - 5/18 as a fraction

Learn how to find what is 8/9 minus 5/18 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 - 5/18 as a fraction and decimal.

Summary: 8/9 minus 5/18 = 11/18
Since both fractions have unequal denominators, 8/9 minus 5/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/9 and fraction 5/18 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 (8/9 x 18/18) - (5/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 8/9 is 16/18 and for 5/18 is 5/18. By simplifying this fraction subtraction 16/18 - 5/18, it becomes 11/18.

Pie Chart Representation: 8/9 - 5/18 = 11/18

CALCULATION: 8/9 - 5/18 as a fraction
8/9 - 5/18 = (?)
8/9 - 5/18 = [(8 x 18) - (5 x 9)]/(9 x 18)
= (144 - 45)/162
= 99/162
= (9 x 11)/(9 x 18)
= 11/18
8/9 - 5/18 = 11/18
8/9 minus 5/18 as a fraction is 11/18.

where
8/9 is a proper fraction as a minuend,
5/18 is a proper fraction as a subtrahend,
11/18 is the difference between 8/9 and 5/18.

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8/9 minus 5/18 as a decimal
8/9 - 5/18 = 11/18
11/18 = 0.6111
(8/9) - (5/18) as a decimal is 0.6111

where
0.6111 is the difference between 8/9 and 5/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/18 from 8/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/9 minus 5/18.
1. LCM method
2. Cross multiplication method.

(8/9) - (5/18) using LCM Method:
What is 8/9 minus 5/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 5/18

What to be found?
(8/9) - (5/18) = ?
Find what's the difference between 8/9 and 5/18.

step 2 Compare the denominators of fractions 8/9 and 5/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/9 and 5/18 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 8/9 and 5/18:
The LCM of 9 and 18 is 18.

step 4 Write the fractions 8/9 and 5/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/9 - 5/18
= [(8 x 18)/(9 x 18)] - [(5 x 18)/(18 x 18)]

step 5 Simplify the expression to have common denominator:
= 16/18 - 5/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (16/1 - 5/1)
= 1/18 x (16 - 5)

step 7Simplify the above expression further:
= 1/18 x 11
= 11/18
8/9 - 5/18 = 11/18

Hence,
8/9 minus 5/18 as a fraction is 11/18.

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8/9 - 5/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 5/18

What to be found?
(8/9)-(5/18) = ?
Find what's the difference between 8/9 and 5/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 18), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (8 x 18) - (5 x 9)/(9 x 18)

step 3 Simplify and rewrite the fraction:
= (144 - 45)/162
= 99/162
= 11/18
8/9 - 5/18 = 11/18

Hence,
8/9 minus 5/18 in fraction is 11/18