# Finding the Difference of Mixed Numbers 83/6 and 24/6

Determine the Difference of Mixed Numbers 83/6 and 24/6 easily using the Mixed Numbers Calculator and get the step by step process involved.

 - + × ÷

## Elaborate Solution to find Difference of Mixed Numbers 83/6 and 24/6

The given mixed numbers are 83/6 and 24/6

Converting 83/6 mix number to fraction

Given Mixed Number is 8 3/6

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 8 and the fractional part is 3/6.

On adding them, they can be written as:

8/1 + 3/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 6.

8 x 6 + 3/6

48 + 3/6

After multiplying, the numerators 48 and 3 should be added.

51/6

The fraction value we get is 51/6.

On simplifying the fraction,we get:

17/2

After converting the Mixed Number 8 3/6 to the Improper Fraction,the result is 17/2.

Converting 24/6 mix number to fraction

Given Mixed Number is 2 4/6

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 2 and the fractional part is 4/6.

On adding them, they can be written as:

2/1 + 4/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 6.

2 x 6 + 4/6

12 + 4/6

After multiplying, the numerators 12 and 4 should be added.

16/6

The fraction value we get is 16/6.

On simplifying the fraction,we get:

8/3

After converting the Mixed Number 2 4/6 to the Improper Fraction,the result is 8/3.

Subtracting fractions 17/2 and 8/3

The given fractions are 17/2 and 8/3

Firstly the L.C.M should be done for the denominators of the two fractions 17/2 and 8/3

17/2 - 8/3

The LCM of 2 and 3 (denominators of the fractions) is 6

Given numbers has no common factors except 1. So, there LCM is their product i.e 6

= 17 x 3 - 8 x 2/6

= 51 - 16/6

= 35/6

Result: 35/6

In order to get the Mixed Number,we need to divide 35 ÷ 6 to get the Quotient and Remainder

35 divided by 6 using long division

The given Divisor = 6 and Dividend = 35

 5 6 3 5 3 0 5

The Quotient is 5 and the Remainder is 5

We get the Quotient = 5 and Remainder = 5

∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator

Result: 5 5/6