Converting Mixed Number 98 2/9 to Decimal
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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
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