5/3 - 11/8 as a fraction

Learn how to find what is 5/3 minus 11/8 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 - 11/8 as a fraction and decimal.

Summary: 5/3 minus 11/8 = 7/24
Since both fractions have unequal denominators, 5/3 minus 11/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 11/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 8. 24 is the LCM of 3 and 8. Multiplying the LCM 24 with the numerators and denominators of both fractions (5/3 x 24/24) - (11/8 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 40/24 and for 11/8 is 33/24. By simplifying this fraction subtraction 40/24 - 33/24, it becomes 7/24.

Pie Chart Representation: 5/3 - 11/8 = 7/24

CALCULATION: 5/3 - 11/8 as a fraction
5/3 - 11/8 = (?)
5/3 - 11/8 = [(5 x 8) - (11 x 3)]/(3 x 8)
= (40 - 33)/24
= 7/24
5/3 - 11/8 = 7/24
5/3 minus 11/8 as a fraction is 7/24.

where
5/3 is a improper fraction as a minuend,
11/8 is a improper fraction as a subtrahend,
7/24 is the difference between 5/3 and 11/8.

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5/3 minus 11/8 as a decimal
5/3 - 11/8 = 7/24
7/24 = 0.2917
(5/3) - (11/8) as a decimal is 0.2917

where
0.2917 is the difference between 5/3 and 11/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/8 from 5/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/3 minus 11/8.
1. LCM method
2. Cross multiplication method.

(5/3) - (11/8) using LCM Method:
What is 5/3 minus 11/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 11/8

What to be found?
(5/3) - (11/8) = ?
Find what's the difference between 5/3 and 11/8.

step 2 Compare the denominators of fractions 5/3 and 11/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/3 and 11/8 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 5/3 and 11/8:
The LCM of 3 and 8 is 24.

step 4 Write the fractions 5/3 and 11/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 - 11/8
= [(5 x 24)/(3 x 24)] - [(11 x 24)/(8 x 24)]

step 5 Simplify the expression to have common denominator:
= 40/24 - 33/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (40/1 - 33/1)
= 1/24 x (40 - 33)

step 7Simplify the above expression further:
= 1/24 x 7
= 7/24
5/3 - 11/8 = 7/24

Hence,
5/3 minus 11/8 as a fraction is 7/24.

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5/3 - 11/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 11/8

What to be found?
(5/3)-(11/8) = ?
Find what's the difference between 5/3 and 11/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 8), find the product of numerator of Fraction B and denominator of Fraction A (11 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 8) and rewrite the equation as like the below:
= (5 x 8) - (11 x 3)/(3 x 8)

step 3 Simplify and rewrite the fraction:
= (40 - 33)/24
5/3 - 11/8 = 7/24

Hence,
5/3 minus 11/8 in fraction is 7/24