Converting Mixed Number 6 2/63 to Decimal
To know What is 6 2/63 in Decimal easily make use of the handy Mixed Numbers to Decimals Calculator and get instant results.
Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Detailed Solution to Convert Mixed Number 6 2/63 to Decimal
Solution by Separating the Parts
62/63 = 6 + 2/63
We know that
2/63
is the same as
2 ÷ 63
Therefore:
62/63 = 6 + (2 ÷ 63)
Divide the numerator 2 by the denominator 63
The given Divisor = 63 and Dividend = 2
| 0. | 0 | 3 | 1 | 7 | ||
| 6 | 3 | 2. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 2 | 0 | |||||
| 0 | 0 | |||||
| 2 | 0 | 0 | ||||
| 1 | 8 | 9 | ||||
| 1 | 1 | 0 | ||||
| 0 | 6 | 3 | ||||
| 4 | 7 | 0 | ||||
| 4 | 4 | 1 | ||||
| 2 | 9 |
Quotient = 0.0317
= 6 + 0.032 = 6.032
Solution by Converting to Improper Fraction
Given Mixed Number is 6 2/63
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 6 and the fractional part is 2/63.
On adding them, they can be written as:
6/1 + 2/63
The L.C.M of the denominators 1 and 63 is 63.
The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 63.
6 x 63 + 2/63
378 + 2/63
After multiplying, the numerators 378 and 2 should be added.
380/63
The fraction value we get is 380/63.
After converting the Mixed Number 6 2/63 to the Improper Fraction,the result is 380/63.
= 380/63
We know that
380/63
is the same as
380 ÷ 63
Divide the numerator 380 by the denominator 63
The given Divisor = 63 and Dividend = 2
| 0. | 0 | 3 | 1 | 7 | ||
| 6 | 3 | 2. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 2 | 0 | |||||
| 0 | 0 | |||||
| 2 | 0 | 0 | ||||
| 1 | 8 | 9 | ||||
| 1 | 1 | 0 | ||||
| 0 | 6 | 3 | ||||
| 4 | 7 | 0 | ||||
| 4 | 4 | 1 | ||||
| 2 | 9 |
Quotient = 0.0317
and rounding to a Max of 3 Decimal Places gives us
= 6.032