Converting Mixed Number 9 53/86 to Decimal
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Detailed Solution to Convert Mixed Number 9 53/86 to Decimal
Solution by Separating the Parts
953/86 = 9 + 53/86
We know that
53/86
is the same as
53 ÷ 86
Therefore:
953/86 = 9 + (53 ÷ 86)
Divide the numerator 53 by the denominator 86
The given Divisor = 86 and Dividend = 53
| 0. | 6 | 1 | 6 | 2 | |||
| 8 | 6 | 5 | 3. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 5 | 3 | 0 | |||||
| 5 | 1 | 6 | |||||
| 1 | 4 | 0 | |||||
| 0 | 8 | 6 | |||||
| 5 | 4 | 0 | |||||
| 5 | 1 | 6 | |||||
| 2 | 4 | 0 | |||||
| 1 | 7 | 2 | |||||
| 6 | 8 |
Quotient = 0.6162
= 9 + 0.616 = 9.616
Solution by Converting to Improper Fraction
Given Mixed Number is 9 53/86
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 9 and the fractional part is 53/86.
On adding them, they can be written as:
9/1 + 53/86
The L.C.M of the denominators 1 and 86 is 86.
The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 86.
9 x 86 + 53/86
774 + 53/86
After multiplying, the numerators 774 and 53 should be added.
827/86
The fraction value we get is 827/86.
After converting the Mixed Number 9 53/86 to the Improper Fraction,the result is 827/86.
= 827/86
We know that
827/86
is the same as
827 ÷ 86
Divide the numerator 827 by the denominator 86
The given Divisor = 86 and Dividend = 53
| 0. | 6 | 1 | 6 | 2 | |||
| 8 | 6 | 5 | 3. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 5 | 3 | 0 | |||||
| 5 | 1 | 6 | |||||
| 1 | 4 | 0 | |||||
| 0 | 8 | 6 | |||||
| 5 | 4 | 0 | |||||
| 5 | 1 | 6 | |||||
| 2 | 4 | 0 | |||||
| 1 | 7 | 2 | |||||
| 6 | 8 |
Quotient = 0.6162
and rounding to a Max of 3 Decimal Places gives us
= 9.616