13/3 - 5/8 as a fraction

Learn how to find what is 13/3 minus 5/8 in fraction form just in a few minutes. We have covered the easiest method to write 13/3 - 5/8 as a fraction and decimal.

Summary: 13/3 minus 5/8 = 89/24
Since both fractions have unequal denominators, 13/3 minus 5/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 5/8 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 (13/3 x 24/24) - (5/8 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 104/24 and for 5/8 is 15/24. By simplifying this fraction subtraction 104/24 - 15/24, it becomes 89/24.

CALCULATION: 13/3 - 5/8 as a fraction
13/3 - 5/8 = (?)
13/3 - 5/8 = [(13 x 8) - (5 x 3)]/(3 x 8)
= (104 - 15)/24
= 89/24
13/3 - 5/8 = 89/24
13/3 minus 5/8 as a fraction is 89/24.

where
13/3 is a improper fraction as a minuend,
5/8 is a proper fraction as a subtrahend,
89/24 is the difference between 13/3 and 5/8.

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13/3 minus 5/8 as a decimal
13/3 - 5/8 = 89/24
89/24 = 3.7083
(13/3) - (5/8) as a decimal is 3.7083

where
3.7083 is the difference between 13/3 and 5/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/8 from 13/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/3 minus 5/8.
1. LCM method
2. Cross multiplication method.

(13/3) - (5/8) using LCM Method:
What is 13/3 minus 5/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 5/8

What to be found?
(13/3) - (5/8) = ?
Find what's the difference between 13/3 and 5/8.

step 2 Compare the denominators of fractions 13/3 and 5/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/3 and 5/8 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 13/3 and 5/8:
The LCM of 3 and 8 is 24.

step 4 Write the fractions 13/3 and 5/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 - 5/8
= [(13 x 24)/(3 x 24)] - [(5 x 24)/(8 x 24)]

step 5 Simplify the expression to have common denominator:
= 104/24 - 15/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (104/1 - 15/1)
= 1/24 x (104 - 15)

step 7Simplify the above expression further:
= 1/24 x 89
= 89/24
13/3 - 5/8 = 89/24

Hence,
13/3 minus 5/8 as a fraction is 89/24.

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13/3 - 5/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 5/8

What to be found?
(13/3)-(5/8) = ?
Find what's the difference between 13/3 and 5/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (13 x 8) - (5 x 3)/(3 x 8)

step 3 Simplify and rewrite the fraction:
= (104 - 15)/24
13/3 - 5/8 = 89/24

Hence,
13/3 minus 5/8 in fraction is 89/24