Converting Mixed Number 1 1/98 to Decimal
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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Detailed Solution to Convert Mixed Number 1 1/98 to Decimal
Solution by Separating the Parts
11/98 = 1 + 1/98
We know that
1/98
is the same as
1 ÷ 98
Therefore:
11/98 = 1 + (1 ÷ 98)
Divide the numerator 1 by the denominator 98
The given Divisor = 98 and Dividend = 1
| 0. | 0 | 1 | 0 | 2 | ||
| 9 | 8 | 1. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 1 | 0 | |||||
| 0 | 0 | |||||
| 1 | 0 | 0 | ||||
| 0 | 9 | 8 | ||||
| 2 | 0 | |||||
| 0 | 0 | |||||
| 2 | 0 | 0 | ||||
| 1 | 9 | 6 | ||||
| 4 |
Quotient = 0.0102
= 1 + 0.01 = 1.01
Solution by Converting to Improper Fraction
Given Mixed Number is 1 1/98
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 1 and the fractional part is 1/98.
On adding them, they can be written as:
1/1 + 1/98
The L.C.M of the denominators 1 and 98 is 98.
The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 98.
1 x 98 + 1/98
98 + 1/98
After multiplying, the numerators 98 and 1 should be added.
99/98
The fraction value we get is 99/98.
After converting the Mixed Number 1 1/98 to the Improper Fraction,the result is 99/98.
= 99/98
We know that
99/98
is the same as
99 ÷ 98
Divide the numerator 99 by the denominator 98
The given Divisor = 98 and Dividend = 1
| 0. | 0 | 1 | 0 | 2 | ||
| 9 | 8 | 1. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 1 | 0 | |||||
| 0 | 0 | |||||
| 1 | 0 | 0 | ||||
| 0 | 9 | 8 | ||||
| 2 | 0 | |||||
| 0 | 0 | |||||
| 2 | 0 | 0 | ||||
| 1 | 9 | 6 | ||||
| 4 |
Quotient = 0.0102
and rounding to a Max of 3 Decimal Places gives us
= 1.01