5/6 - 10/3 as a fraction

Learn how to find what is 5/6 minus 10/3 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 - 10/3 as a fraction and decimal.

Summary: 5/6 minus 10/3 = -5/2
Since both fractions have unequal denominators, 5/6 minus 10/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 10/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 3. 6 is the LCM of 6 and 3. Multiplying the LCM 6 with the numerators and denominators of both fractions (5/6 x 6/6) - (10/3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 5/6 and for 10/3 is 20/6. By simplifying this fraction subtraction 5/6 - 20/6, it becomes -15/6.

CALCULATION: 5/6 - 10/3 as a fraction
5/6 - 10/3 = (?)
5/6 - 10/3 = [(5 x 3) - (10 x 6)]/(6 x 3)
= (15 - 60)/18
= -45/18
= (9 x -5)/(9 x 2)
= -5/2
5/6 - 10/3 = -5/2
5/6 minus 10/3 as a fraction is -5/2.

where
5/6 is a proper fraction as a minuend,
10/3 is a improper fraction as a subtrahend,
-5/2 is the difference between 5/6 and 10/3.

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5/6 minus 10/3 as a decimal
5/6 - 10/3 = -5/2
-5/2 = -2.5
(5/6) - (10/3) as a decimal is -2.5

where
-2.5 is the difference between 5/6 and 10/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/3 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 10/3.
1. LCM method
2. Cross multiplication method.

(5/6) - (10/3) using LCM Method:
What is 5/6 minus 10/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 10/3

What to be found?
(5/6) - (10/3) = ?
Find what's the difference between 5/6 and 10/3.

step 2 Compare the denominators of fractions 5/6 and 10/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 10/3 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 10/3:
The LCM of 6 and 3 is 6.

step 4 Write the fractions 5/6 and 10/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 - 10/3
= [(5 x 6)/(6 x 6)] - [(10 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 5/6 - 20/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (5/1 - 20/1)
= 1/6 x (5 - 20)

step 7Simplify the above expression further:
= 1/6 x -15
= -15/6
= -5/2
5/6 - 10/3 = -5/2

Hence,
5/6 minus 10/3 as a fraction is -5/2.

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5/6 - 10/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 10/3

What to be found?
(5/6)-(10/3) = ?
Find what's the difference between 5/6 and 10/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 3), find the product of numerator of Fraction B and denominator of Fraction A (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 3) and rewrite the equation as like the below:
= (5 x 3) - (10 x 6)/(6 x 3)

step 3 Simplify and rewrite the fraction:
= (15 - 60)/18
= -45/18
= -5/2
5/6 - 10/3 = -5/2

Hence,
5/6 minus 10/3 in fraction is -5/2