Converting Mixed Number 20 2/6 to Decimal
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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Detailed Solution to Convert Mixed Number 20 2/6 to Decimal
Solution by Separating the Parts
202/6 = 20 + 2/6
We know that
2/6
is the same as
2 ÷ 6
Therefore:
202/6 = 20 + (2 ÷ 6)
Divide the numerator 2 by the denominator 6
The given Divisor = 6 and Dividend = 2
| 0. | 3 | 3 | 3 | 3 | |
| 6 | 2. | 0 | 0 | 0 | 0 |
| 0 | |||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 |
Quotient = 0.3333
= 20 + 0.333 = 20.333
Solution by Converting to Improper Fraction
Given Mixed Number is 20 2/6
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 20 and the fractional part is 2/6.
On adding them, they can be written as:
20/1 + 2/6
The L.C.M of the denominators 1 and 6 is 6.
The numerator of the first fraction 20 is multiplied with the denominator of the second fraction 6.
20 x 6 + 2/6
120 + 2/6
After multiplying, the numerators 120 and 2 should be added.
122/6
The fraction value we get is 122/6.
On simplifying the fraction,we get:
61/3
After converting the Mixed Number 20 2/6 to the Improper Fraction,the result is 61/3.
= 61/3
We know that
61/3
is the same as
61 ÷ 3
Divide the numerator 61 by the denominator 3
The given Divisor = 6 and Dividend = 2
| 0. | 3 | 3 | 3 | 3 | |
| 6 | 2. | 0 | 0 | 0 | 0 |
| 0 | |||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 | 0 | ||||
| 1 | 8 | ||||
| 2 |
Quotient = 0.3333
and rounding to a Max of 3 Decimal Places gives us
= 20.333