# Converting Mixed Number 32 3/6 to Decimal

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## Detailed Solution to Convert Mixed Number 32 3/6 to Decimal

Solution by Separating the Parts

323/6 = 32 + 3/6

We know that

3/6

is the same as

3 ÷ 6

Therefore:

323/6 = 32 + (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

= 32 + 0.5 = 32.5

Solution by Converting to Improper Fraction

Given Mixed Number is 32 3/6

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

The Whole Number is 32 and the fractional part is 3/6.

On adding them, they can be written as:

32/1 + 3/6

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

The numerator of the first fraction 32 is multiplied with the denominator of the second fraction 6.

32 x 6 + 3/6

192 + 3/6

After multiplying, the numerators 192 and 3 should be added.

195/6

The fraction value we get is 195/6.

On simplifying the fraction,we get:

65/2

After converting the Mixed Number 32 3/6 to the Improper Fraction,the result is 65/2.

= 65/2

We know that

65/2

is the same as

65 ÷ 2

Divide the numerator 65 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

= 32.5