2/9 - 9/8 as a fraction

Learn how to find what is 2/9 minus 9/8 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 9/8 as a fraction and decimal.

Summary: 2/9 minus 9/8 = -65/72
Since both fractions have unequal denominators, 2/9 minus 9/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 9/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 8. 72 is the LCM of 9 and 8. Multiplying the LCM 72 with the numerators and denominators of both fractions (2/9 x 72/72) - (9/8 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 16/72 and for 9/8 is 81/72. By simplifying this fraction subtraction 16/72 - 81/72, it becomes -65/72.

CALCULATION: 2/9 - 9/8 as a fraction
2/9 - 9/8 = (?)
2/9 - 9/8 = [(2 x 8) - (9 x 9)]/(9 x 8)
= (16 - 81)/72
= -65/72
2/9 - 9/8 = -65/72
2/9 minus 9/8 as a fraction is -65/72.

where
2/9 is a proper fraction as a minuend,
9/8 is a improper fraction as a subtrahend,
-65/72 is the difference between 2/9 and 9/8.

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2/9 minus 9/8 as a decimal
2/9 - 9/8 = -65/72
-65/72 = -0.9028
(2/9) - (9/8) as a decimal is -0.9028

where
-0.9028 is the difference between 2/9 and 9/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/8 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 9/8.
1. LCM method
2. Cross multiplication method.

(2/9) - (9/8) using LCM Method:
What is 2/9 minus 9/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 9/8

What to be found?
(2/9) - (9/8) = ?
Find what's the difference between 2/9 and 9/8.

step 2 Compare the denominators of fractions 2/9 and 9/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 9/8 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 9/8:
The LCM of 9 and 8 is 72.

step 4 Write the fractions 2/9 and 9/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 9/8
= [(2 x 72)/(9 x 72)] - [(9 x 72)/(8 x 72)]

step 5 Simplify the expression to have common denominator:
= 16/72 - 81/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (16/1 - 81/1)
= 1/72 x (16 - 81)

step 7Simplify the above expression further:
= 1/72 x -65
= -65/72
2/9 - 9/8 = -65/72

Hence,
2/9 minus 9/8 as a fraction is -65/72.

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2/9 - 9/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 9/8

What to be found?
(2/9)-(9/8) = ?
Find what's the difference between 2/9 and 9/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 8), find the product of numerator of Fraction B and denominator of Fraction A (9 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 8) and rewrite the equation as like the below:
= (2 x 8) - (9 x 9)/(9 x 8)

step 3 Simplify and rewrite the fraction:
= (16 - 81)/72
2/9 - 9/8 = -65/72

Hence,
2/9 minus 9/8 in fraction is -65/72