9/8 - 5/11 as a fraction

Learn how to find what is 9/8 minus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 - 5/11 as a fraction and decimal.

Summary: 9/8 minus 5/11 = 59/88
Since both fractions have unequal denominators, 9/8 minus 5/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 5/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 11. 88 is the LCM of 8 and 11. Multiplying the LCM 88 with the numerators and denominators of both fractions (9/8 x 88/88) - (5/11 x 88/88), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 99/88 and for 5/11 is 40/88. By simplifying this fraction subtraction 99/88 - 40/88, it becomes 59/88.

Pie Chart Representation: 9/8 - 5/11 = 59/88

CALCULATION: 9/8 - 5/11 as a fraction
9/8 - 5/11 = (?)
9/8 - 5/11 = [(9 x 11) - (5 x 8)]/(8 x 11)
= (99 - 40)/88
= 59/88
9/8 - 5/11 = 59/88
9/8 minus 5/11 as a fraction is 59/88.

where
9/8 is a improper fraction as a minuend,
5/11 is a proper fraction as a subtrahend,
59/88 is the difference between 9/8 and 5/11.

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9/8 minus 5/11 as a decimal
9/8 - 5/11 = 59/88
59/88 = 0.6705
(9/8) - (5/11) as a decimal is 0.6705

where
0.6705 is the difference between 9/8 and 5/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/11 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 5/11.
1. LCM method
2. Cross multiplication method.

(9/8) - (5/11) using LCM Method:
What is 9/8 minus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/11

What to be found?
(9/8) - (5/11) = ?
Find what's the difference between 9/8 and 5/11.

step 2 Compare the denominators of fractions 9/8 and 5/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 5/11 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 5/11:
The LCM of 8 and 11 is 88.

step 4 Write the fractions 9/8 and 5/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 - 5/11
= [(9 x 88)/(8 x 88)] - [(5 x 88)/(11 x 88)]

step 5 Simplify the expression to have common denominator:
= 99/88 - 40/88

step 6 Take the common values out and rewrite the above expression like the below:
= 1/88 x (99/1 - 40/1)
= 1/88 x (99 - 40)

step 7Simplify the above expression further:
= 1/88 x 59
= 59/88
9/8 - 5/11 = 59/88

Hence,
9/8 minus 5/11 as a fraction is 59/88.

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9/8 - 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/11

What to be found?
(9/8)-(5/11) = ?
Find what's the difference between 9/8 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 11) and rewrite the equation as like the below:
= (9 x 11) - (5 x 8)/(8 x 11)

step 3 Simplify and rewrite the fraction:
= (99 - 40)/88
9/8 - 5/11 = 59/88

Hence,
9/8 minus 5/11 in fraction is 59/88