Converting Mixed Number 29 1/8 to Decimal
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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Detailed Solution to Convert Mixed Number 29 1/8 to Decimal
Solution by Separating the Parts
291/8 = 29 + 1/8
We know that
1/8
is the same as
1 ÷ 8
Therefore:
291/8 = 29 + (1 ÷ 8)
Divide the numerator 1 by the denominator 8
The given Divisor = 8 and Dividend = 1
| 0. | 1 | 2 | 5 | 0 | |
| 8 | 1. | 0 | 0 | 0 | |
| 0 | |||||
| 1 | 0 | ||||
| 0 | 8 | ||||
| 2 | 0 | ||||
| 1 | 6 | ||||
| 4 | 0 | ||||
| 4 | 0 | ||||
| 0 | |||||
| 0 | |||||
| 0 |
Quotient = 0.1250
= 29 + 0.125 = 29.125
Solution by Converting to Improper Fraction
Given Mixed Number is 29 1/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 29 and the fractional part is 1/8.
On adding them, they can be written as:
29/1 + 1/8
The L.C.M of the denominators 1 and 8 is 8.
The numerator of the first fraction 29 is multiplied with the denominator of the second fraction 8.
29 x 8 + 1/8
232 + 1/8
After multiplying, the numerators 232 and 1 should be added.
233/8
The fraction value we get is 233/8.
After converting the Mixed Number 29 1/8 to the Improper Fraction,the result is 233/8.
= 233/8
We know that
233/8
is the same as
233 ÷ 8
Divide the numerator 233 by the denominator 8
The given Divisor = 8 and Dividend = 1
| 0. | 1 | 2 | 5 | 0 | |
| 8 | 1. | 0 | 0 | 0 | |
| 0 | |||||
| 1 | 0 | ||||
| 0 | 8 | ||||
| 2 | 0 | ||||
| 1 | 6 | ||||
| 4 | 0 | ||||
| 4 | 0 | ||||
| 0 | |||||
| 0 | |||||
| 0 |
Quotient = 0.1250
and rounding to a Max of 3 Decimal Places gives us
= 29.125