10/3 - 5/6 as a fraction

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

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

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

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

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

where
2.5 is the difference between 10/3 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 10/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/3 minus 5/6.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

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

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

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

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

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

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

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

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

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