2/9 - 5/2 as a fraction

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

Summary: 2/9 minus 5/2 = -41/18
Since both fractions have unequal denominators, 2/9 minus 5/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 5/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 2. 18 is the LCM of 9 and 2. Multiplying the LCM 18 with the numerators and denominators of both fractions (2/9 x 18/18) - (5/2 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 4/18 and for 5/2 is 45/18. By simplifying this fraction subtraction 4/18 - 45/18, it becomes -41/18.

CALCULATION: 2/9 - 5/2 as a fraction
2/9 - 5/2 = (?)
2/9 - 5/2 = [(2 x 2) - (5 x 9)]/(9 x 2)
= (4 - 45)/18
= -41/18
2/9 - 5/2 = -41/18
2/9 minus 5/2 as a fraction is -41/18.

where
2/9 is a proper fraction as a minuend,
5/2 is a improper fraction as a subtrahend,
-41/18 is the difference between 2/9 and 5/2.

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2/9 minus 5/2 as a decimal
2/9 - 5/2 = -41/18
-41/18 = -2.2778
(2/9) - (5/2) as a decimal is -2.2778

where
-2.2778 is the difference between 2/9 and 5/2.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 4/18 - 45/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (4/1 - 45/1)
= 1/18 x (4 - 45)

step 7Simplify the above expression further:
= 1/18 x -41
= -41/18
2/9 - 5/2 = -41/18

Hence,
2/9 minus 5/2 as a fraction is -41/18.

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

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

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

step 3 Simplify and rewrite the fraction:
= (4 - 45)/18
2/9 - 5/2 = -41/18

Hence,
2/9 minus 5/2 in fraction is -41/18