9/8 - 8/9 as a fraction

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

Summary: 9/8 minus 8/9 = 17/72
Since both fractions have unequal denominators, 9/8 minus 8/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 8/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 9. 72 is the LCM of 8 and 9. Multiplying the LCM 72 with the numerators and denominators of both fractions (9/8 x 72/72) - (8/9 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 81/72 and for 8/9 is 64/72. By simplifying this fraction subtraction 81/72 - 64/72, it becomes 17/72.

Pie Chart Representation: 9/8 - 8/9 = 17/72

CALCULATION: 9/8 - 8/9 as a fraction
9/8 - 8/9 = (?)
9/8 - 8/9 = [(9 x 9) - (8 x 8)]/(8 x 9)
= (81 - 64)/72
= 17/72
9/8 - 8/9 = 17/72
9/8 minus 8/9 as a fraction is 17/72.

where
9/8 is a improper fraction as a minuend,
8/9 is a proper fraction as a subtrahend,
17/72 is the difference between 9/8 and 8/9.

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9/8 minus 8/9 as a decimal
9/8 - 8/9 = 17/72
17/72 = 0.2361
(9/8) - (8/9) as a decimal is 0.2361

where
0.2361 is the difference between 9/8 and 8/9.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 81/72 - 64/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (81/1 - 64/1)
= 1/72 x (81 - 64)

step 7Simplify the above expression further:
= 1/72 x 17
= 17/72
9/8 - 8/9 = 17/72

Hence,
9/8 minus 8/9 as a fraction is 17/72.

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

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

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

step 3 Simplify and rewrite the fraction:
= (81 - 64)/72
9/8 - 8/9 = 17/72

Hence,
9/8 minus 8/9 in fraction is 17/72