13/8 - 5/6 as a fraction

Learn how to find what is 13/8 minus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 5/6 as a fraction and decimal.

Summary: 13/8 minus 5/6 = 19/24
Since both fractions have unequal denominators, 13/8 minus 5/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 5/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 6. 24 is the LCM of 8 and 6. Multiplying the LCM 24 with the numerators and denominators of both fractions (13/8 x 24/24) - (5/6 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 39/24 and for 5/6 is 20/24. By simplifying this fraction subtraction 39/24 - 20/24, it becomes 19/24.

Pie Chart Representation: 13/8 - 5/6 = 19/24

CALCULATION: 13/8 - 5/6 as a fraction
13/8 - 5/6 = (?)
13/8 - 5/6 = [(13 x 6) - (5 x 8)]/(8 x 6)
= (78 - 40)/48
= 38/48
= (2 x 19)/(2 x 24)
= 19/24
13/8 - 5/6 = 19/24
13/8 minus 5/6 as a fraction is 19/24.

where
13/8 is a improper fraction as a minuend,
5/6 is a proper fraction as a subtrahend,
19/24 is the difference between 13/8 and 5/6.

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13/8 minus 5/6 as a decimal
13/8 - 5/6 = 19/24
19/24 = 0.7917
(13/8) - (5/6) as a decimal is 0.7917

where
0.7917 is the difference between 13/8 and 5/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/6 from 13/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/8 minus 5/6.
1. LCM method
2. Cross multiplication method.

(13/8) - (5/6) using LCM Method:
What is 13/8 minus 5/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/6

What to be found?
(13/8) - (5/6) = ?
Find what's the difference between 13/8 and 5/6.

step 2 Compare the denominators of fractions 13/8 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 and 5/6 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 13/8 and 5/6:
The LCM of 8 and 6 is 24.

step 4 Write the fractions 13/8 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 5/6
= [(13 x 24)/(8 x 24)] - [(5 x 24)/(6 x 24)]

step 5 Simplify the expression to have common denominator:
= 39/24 - 20/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (39/1 - 20/1)
= 1/24 x (39 - 20)

step 7Simplify the above expression further:
= 1/24 x 19
= 19/24
13/8 - 5/6 = 19/24

Hence,
13/8 minus 5/6 as a fraction is 19/24.

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13/8 - 5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/6

What to be found?
(13/8)-(5/6) = ?
Find what's the difference between 13/8 and 5/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 6), 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 6) and rewrite the equation as like the below:
= (13 x 6) - (5 x 8)/(8 x 6)

step 3 Simplify and rewrite the fraction:
= (78 - 40)/48
= 38/48
= 19/24
13/8 - 5/6 = 19/24

Hence,
13/8 minus 5/6 in fraction is 19/24