# Converting Mixed Number 38 3/9 to Decimal

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## Detailed Solution to Convert Mixed Number 38 3/9 to Decimal

Solution by Separating the Parts

383/9 = 38 + 3/9

We know that

3/9

is the same as

3 ÷ 9

Therefore:

383/9 = 38 + (3 ÷ 9)

Divide the numerator 3 by the denominator 9

The given Divisor = 9 and Dividend = 3

 0. 3 3 3 3 9 3. 0 0 0 0 0 3 0 2 7 3 0 2 7 3 0 2 7 3 0 2 7 3

Quotient = 0.3333

= 38 + 0.333 = 38.333

Solution by Converting to Improper Fraction

Given Mixed Number is 38 3/9

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

The Whole Number is 38 and the fractional part is 3/9.

On adding them, they can be written as:

38/1 + 3/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 38 is multiplied with the denominator of the second fraction 9.

38 x 9 + 3/9

342 + 3/9

After multiplying, the numerators 342 and 3 should be added.

345/9

The fraction value we get is 345/9.

On simplifying the fraction,we get:

115/3

After converting the Mixed Number 38 3/9 to the Improper Fraction,the result is 115/3.

= 115/3

We know that

115/3

is the same as

115 ÷ 3

Divide the numerator 115 by the denominator 3

The given Divisor = 9 and Dividend = 3

 0. 3 3 3 3 9 3. 0 0 0 0 0 3 0 2 7 3 0 2 7 3 0 2 7 3 0 2 7 3

Quotient = 0.3333

and rounding to a Max of 3 Decimal Places gives us

= 38.333