# Converting Mixed Number 98 2/9 to Decimal

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## Detailed Solution to Convert Mixed Number 98 2/9 to Decimal

Solution by Separating the Parts

982/9 = 98 + 2/9

We know that

2/9

is the same as

2 ÷ 9

Therefore:

982/9 = 98 + (2 ÷ 9)

Divide the numerator 2 by the denominator 9

The given Divisor = 9 and Dividend = 2

 0. 2 2 2 2 9 2. 0 0 0 0 0 2 0 1 8 2 0 1 8 2 0 1 8 2 0 1 8 2

Quotient = 0.2222

= 98 + 0.222 = 98.222

Solution by Converting to Improper Fraction

Given Mixed Number is 98 2/9

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

The Whole Number is 98 and the fractional part is 2/9.

On adding them, they can be written as:

98/1 + 2/9

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

The numerator of the first fraction 98 is multiplied with the denominator of the second fraction 9.

98 x 9 + 2/9

882 + 2/9

After multiplying, the numerators 882 and 2 should be added.

884/9

The fraction value we get is 884/9.

After converting the Mixed Number 98 2/9 to the Improper Fraction,the result is 884/9.

= 884/9

We know that

884/9

is the same as

884 ÷ 9

Divide the numerator 884 by the denominator 9

The given Divisor = 9 and Dividend = 2

 0. 2 2 2 2 9 2. 0 0 0 0 0 2 0 1 8 2 0 1 8 2 0 1 8 2 0 1 8 2

Quotient = 0.2222

and rounding to a Max of 3 Decimal Places gives us

= 98.222