10/9 - 9/8 as a fraction

Learn how to find what is 10/9 minus 9/8 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 - 9/8 as a fraction and decimal.

Summary: 10/9 minus 9/8 = -1/72
Since both fractions have unequal denominators, 10/9 minus 9/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/9 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 (10/9 x 72/72) - (9/8 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 80/72 and for 9/8 is 81/72. By simplifying this fraction subtraction 80/72 - 81/72, it becomes -1/72.

CALCULATION: 10/9 - 9/8 as a fraction
10/9 - 9/8 = (?)
10/9 - 9/8 = [(10 x 8) - (9 x 9)]/(9 x 8)
= (80 - 81)/72
= -1/72
10/9 - 9/8 = -1/72
10/9 minus 9/8 as a fraction is -1/72.

where
10/9 is a improper fraction as a minuend,
9/8 is a improper fraction as a subtrahend,
-1/72 is the difference between 10/9 and 9/8.

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10/9 minus 9/8 as a decimal
10/9 - 9/8 = -1/72
-1/72 = -0.0139
(10/9) - (9/8) as a decimal is -0.0139

where
-0.0139 is the difference between 10/9 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 10/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/9 minus 9/8.
1. LCM method
2. Cross multiplication method.

(10/9) - (9/8) using LCM Method:
What is 10/9 minus 9/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 9/8

What to be found?
(10/9) - (9/8) = ?
Find what's the difference between 10/9 and 9/8.

step 2 Compare the denominators of fractions 10/9 and 9/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/9 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 10/9 and 9/8:
The LCM of 9 and 8 is 72.

step 4 Write the fractions 10/9 and 9/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 - 9/8
= [(10 x 72)/(9 x 72)] - [(9 x 72)/(8 x 72)]

step 5 Simplify the expression to have common denominator:
= 80/72 - 81/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (80/1 - 81/1)
= 1/72 x (80 - 81)

step 7Simplify the above expression further:
= 1/72 x -1
= -1/72
10/9 - 9/8 = -1/72

Hence,
10/9 minus 9/8 as a fraction is -1/72.

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10/9 - 9/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 9/8

What to be found?
(10/9)-(9/8) = ?
Find what's the difference between 10/9 and 9/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 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:
= (10 x 8) - (9 x 9)/(9 x 8)

step 3 Simplify and rewrite the fraction:
= (80 - 81)/72
10/9 - 9/8 = -1/72

Hence,
10/9 minus 9/8 in fraction is -1/72