# Converting Mixed Number 3 3/6 to Decimal

To know What is 3 3/6 in Decimal easily make use of the handy Mixed Numbers to Decimals Calculator and get instant results.

Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)

 Round to 1 2 3 4 5 6 7 8 Decimals

## Detailed Solution to Convert Mixed Number 3 3/6 to Decimal

Solution by Separating the Parts

33/6 = 3 + 3/6

We know that

3/6

is the same as

3 ÷ 6

Therefore:

33/6 = 3 + (3 ÷ 6)

Divide the numerator 3 by the denominator 6

The given Divisor = 6 and Dividend = 3

 0. 5 0 0 0 6 3. 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0

Quotient = 0.5000

= 3 + 0.5 = 3.5

Solution by Converting to Improper Fraction

Given Mixed Number is 3 3/6

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

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

On adding them, they can be written as:

3/1 + 3/6

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

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 6.

3 x 6 + 3/6

18 + 3/6

After multiplying, the numerators 18 and 3 should be added.

21/6

The fraction value we get is 21/6.

On simplifying the fraction,we get:

7/2

After converting the Mixed Number 3 3/6 to the Improper Fraction,the result is 7/2.

= 7/2

We know that

7/2

is the same as

7 ÷ 2

Divide the numerator 7 by the denominator 2

The given Divisor = 6 and Dividend = 3

 0. 5 0 0 0 6 3. 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0

Quotient = 0.5000

and rounding to a Max of 3 Decimal Places gives us

= 3.5