# Converting Mixed Number 3 3/82 to Decimal

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## Detailed Solution to Convert Mixed Number 3 3/82 to Decimal

Solution by Separating the Parts

33/82 = 3 + 3/82

We know that

3/82

is the same as

3 ÷ 82

Therefore:

33/82 = 3 + (3 ÷ 82)

Divide the numerator 3 by the denominator 82

The given Divisor = 82 and Dividend = 3

 0. 0 3 6 5 8 2 3. 0 0 0 0 0 3 0 0 0 3 0 0 2 4 6 5 4 0 4 9 2 4 8 0 4 1 0 7 0

Quotient = 0.0365

= 3 + 0.037 = 3.037

Solution by Converting to Improper Fraction

Given Mixed Number is 3 3/82

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

The Whole Number is 3 and the fractional part is 3/82.

On adding them, they can be written as:

3/1 + 3/82

The L.C.M of the denominators 1 and 82 is 82.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 82.

3 x 82 + 3/82

246 + 3/82

After multiplying, the numerators 246 and 3 should be added.

249/82

The fraction value we get is 249/82.

After converting the Mixed Number 3 3/82 to the Improper Fraction,the result is 249/82.

= 249/82

We know that

249/82

is the same as

249 ÷ 82

Divide the numerator 249 by the denominator 82

The given Divisor = 82 and Dividend = 3

 0. 0 3 6 5 8 2 3. 0 0 0 0 0 3 0 0 0 3 0 0 2 4 6 5 4 0 4 9 2 4 8 0 4 1 0 7 0

Quotient = 0.0365

and rounding to a Max of 3 Decimal Places gives us

= 3.037