5/6 - 8/5 as a fraction

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

Summary: 5/6 minus 8/5 = -23/30
Since both fractions have unequal denominators, 5/6 minus 8/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 8/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 5. 30 is the LCM of 6 and 5. Multiplying the LCM 30 with the numerators and denominators of both fractions (5/6 x 30/30) - (8/5 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 25/30 and for 8/5 is 48/30. By simplifying this fraction subtraction 25/30 - 48/30, it becomes -23/30.

CALCULATION: 5/6 - 8/5 as a fraction
5/6 - 8/5 = (?)
5/6 - 8/5 = [(5 x 5) - (8 x 6)]/(6 x 5)
= (25 - 48)/30
= -23/30
5/6 - 8/5 = -23/30
5/6 minus 8/5 as a fraction is -23/30.

where
5/6 is a proper fraction as a minuend,
8/5 is a improper fraction as a subtrahend,
-23/30 is the difference between 5/6 and 8/5.

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5/6 minus 8/5 as a decimal
5/6 - 8/5 = -23/30
-23/30 = -0.7667
(5/6) - (8/5) as a decimal is -0.7667

where
-0.7667 is the difference between 5/6 and 8/5.

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

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

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

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

step 2 Compare the denominators of fractions 5/6 and 8/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 8/5 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 5/6 and 8/5:
The LCM of 6 and 5 is 30.

step 4 Write the fractions 5/6 and 8/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 - 8/5
= [(5 x 30)/(6 x 30)] - [(8 x 30)/(5 x 30)]

step 5 Simplify the expression to have common denominator:
= 25/30 - 48/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (25/1 - 48/1)
= 1/30 x (25 - 48)

step 7Simplify the above expression further:
= 1/30 x -23
= -23/30
5/6 - 8/5 = -23/30

Hence,
5/6 minus 8/5 as a fraction is -23/30.

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

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

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

step 3 Simplify and rewrite the fraction:
= (25 - 48)/30
5/6 - 8/5 = -23/30

Hence,
5/6 minus 8/5 in fraction is -23/30