9/2 - 5/9 as a fraction

Learn how to find what is 9/2 minus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 - 5/9 as a fraction and decimal.

Summary: 9/2 minus 5/9 = 71/18
Since both fractions have unequal denominators, 9/2 minus 5/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 5/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 9. 18 is the LCM of 2 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (9/2 x 18/18) - (5/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 81/18 and for 5/9 is 10/18. By simplifying this fraction subtraction 81/18 - 10/18, it becomes 71/18.

CALCULATION: 9/2 - 5/9 as a fraction
9/2 - 5/9 = (?)
9/2 - 5/9 = [(9 x 9) - (5 x 2)]/(2 x 9)
= (81 - 10)/18
= 71/18
9/2 - 5/9 = 71/18
9/2 minus 5/9 as a fraction is 71/18.

where
9/2 is a improper fraction as a minuend,
5/9 is a proper fraction as a subtrahend,
71/18 is the difference between 9/2 and 5/9.

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9/2 minus 5/9 as a decimal
9/2 - 5/9 = 71/18
71/18 = 3.9444
(9/2) - (5/9) as a decimal is 3.9444

where
3.9444 is the difference between 9/2 and 5/9.

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

(9/2) - (5/9) using LCM Method:
What is 9/2 minus 5/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 5/9

What to be found?
(9/2) - (5/9) = ?
Find what's the difference between 9/2 and 5/9.

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

step 4 Write the fractions 9/2 and 5/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 - 5/9
= [(9 x 18)/(2 x 18)] - [(5 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 81/18 - 10/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (81/1 - 10/1)
= 1/18 x (81 - 10)

step 7Simplify the above expression further:
= 1/18 x 71
= 71/18
9/2 - 5/9 = 71/18

Hence,
9/2 minus 5/9 as a fraction is 71/18.

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9/2 - 5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 5/9

What to be found?
(9/2)-(5/9) = ?
Find what's the difference between 9/2 and 5/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 9) and rewrite the equation as like the below:
= (9 x 9) - (5 x 2)/(2 x 9)

step 3 Simplify and rewrite the fraction:
= (81 - 10)/18
9/2 - 5/9 = 71/18

Hence,
9/2 minus 5/9 in fraction is 71/18