Converting Mixed Number 2 8/49 to Decimal
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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Detailed Solution to Convert Mixed Number 2 8/49 to Decimal
Solution by Separating the Parts
28/49 = 2 + 8/49
We know that
8/49
is the same as
8 ÷ 49
Therefore:
28/49 = 2 + (8 ÷ 49)
Divide the numerator 8 by the denominator 49
The given Divisor = 49 and Dividend = 8
| 0. | 1 | 6 | 3 | 2 | ||
| 4 | 9 | 8. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 8 | 0 | |||||
| 4 | 9 | |||||
| 3 | 1 | 0 | ||||
| 2 | 9 | 4 | ||||
| 1 | 6 | 0 | ||||
| 1 | 4 | 7 | ||||
| 1 | 3 | 0 | ||||
| 0 | 9 | 8 | ||||
| 3 | 2 |
Quotient = 0.1632
= 2 + 0.163 = 2.163
Solution by Converting to Improper Fraction
Given Mixed Number is 2 8/49
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 2 and the fractional part is 8/49.
On adding them, they can be written as:
2/1 + 8/49
The L.C.M of the denominators 1 and 49 is 49.
The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 49.
2 x 49 + 8/49
98 + 8/49
After multiplying, the numerators 98 and 8 should be added.
106/49
The fraction value we get is 106/49.
After converting the Mixed Number 2 8/49 to the Improper Fraction,the result is 106/49.
= 106/49
We know that
106/49
is the same as
106 ÷ 49
Divide the numerator 106 by the denominator 49
The given Divisor = 49 and Dividend = 8
| 0. | 1 | 6 | 3 | 2 | ||
| 4 | 9 | 8. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 8 | 0 | |||||
| 4 | 9 | |||||
| 3 | 1 | 0 | ||||
| 2 | 9 | 4 | ||||
| 1 | 6 | 0 | ||||
| 1 | 4 | 7 | ||||
| 1 | 3 | 0 | ||||
| 0 | 9 | 8 | ||||
| 3 | 2 |
Quotient = 0.1632
and rounding to a Max of 3 Decimal Places gives us
= 2.163