11/9 - 15/8 as a fraction

Learn how to find what is 11/9 minus 15/8 in fraction form just in a few minutes. We have covered the easiest method to write 11/9 - 15/8 as a fraction and decimal.

Summary: 11/9 minus 15/8 = -47/72
Since both fractions have unequal denominators, 11/9 minus 15/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/9 and fraction 15/8 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 (11/9 x 72/72) - (15/8 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 11/9 is 88/72 and for 15/8 is 135/72. By simplifying this fraction subtraction 88/72 - 135/72, it becomes -47/72.

CALCULATION: 11/9 - 15/8 as a fraction
11/9 - 15/8 = (?)
11/9 - 15/8 = [(11 x 8) - (15 x 9)]/(9 x 8)
= (88 - 135)/72
= -47/72
11/9 - 15/8 = -47/72
11/9 minus 15/8 as a fraction is -47/72.

where
11/9 is a improper fraction as a minuend,
15/8 is a improper fraction as a subtrahend,
-47/72 is the difference between 11/9 and 15/8.

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11/9 minus 15/8 as a decimal
11/9 - 15/8 = -47/72
-47/72 = -0.6528
(11/9) - (15/8) as a decimal is -0.6528

where
-0.6528 is the difference between 11/9 and 15/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/8 from 11/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/9 minus 15/8.
1. LCM method
2. Cross multiplication method.

(11/9) - (15/8) using LCM Method:
What is 11/9 minus 15/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 15/8

What to be found?
(11/9) - (15/8) = ?
Find what's the difference between 11/9 and 15/8.

step 2 Compare the denominators of fractions 11/9 and 15/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/9 and 15/8 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 11/9 and 15/8:
The LCM of 9 and 8 is 72.

step 4 Write the fractions 11/9 and 15/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/9 - 15/8
= [(11 x 72)/(9 x 72)] - [(15 x 72)/(8 x 72)]

step 5 Simplify the expression to have common denominator:
= 88/72 - 135/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (88/1 - 135/1)
= 1/72 x (88 - 135)

step 7Simplify the above expression further:
= 1/72 x -47
= -47/72
11/9 - 15/8 = -47/72

Hence,
11/9 minus 15/8 as a fraction is -47/72.

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11/9 - 15/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 15/8

What to be found?
(11/9)-(15/8) = ?
Find what's the difference between 11/9 and 15/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 8), find the product of numerator of Fraction B and denominator of Fraction A (15 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:
= (11 x 8) - (15 x 9)/(9 x 8)

step 3 Simplify and rewrite the fraction:
= (88 - 135)/72
11/9 - 15/8 = -47/72

Hence,
11/9 minus 15/8 in fraction is -47/72