Decimal to fraction - Non repeating
When you convert a non repeating decimal into a fraction think where the last digit stretches to.
| `0` | `.` | `1` | `1` | `1` | `1` | `1` | etc |
| `darr` | `darr` | `darr` | `darr` | `darr` | |||
| `1/10` | `1/100` | `1/1000` | `1/(10,000)` | `1/(100,000)` |
Example 1
Convert `0.5` to a fraction
| Remember | `0` | `.` | `1` |
| `darr` | |||
| `1/10` |
| `0.5` | `=` | `5/10` | |
| `\ \ \ darr` | |||
| `\ \ 1/10` | |||
| column | |||
| and | `5/10` | `=` | `1/2` |
Answer: `0.5=1/2`
Example 2
Convert `0.35` to a fraction
| Remember | `0` | `.` | `1` | `1` |
| `darr` | `darr` | |||
| `1/10` | `1/100` |
| `0.35` | `=` | `35/100` | |
| `\ \ \ \ \ darr` | |||
| `\ \ \ \ 1/100` | |||
| column | |||
| and | `35/100` | `=` | `7/20` |
Answer: `0.35=7/20`
Example 3
Convert `0.15` to a fraction
| Remember | `0` | `.` | `1` | `1` |
| `darr` | `darr` | |||
| `1/10` | `1/100` |
| `0.15` | `=` | `15/100` | |
| `\ \ \ \ \ darr` | |||
| `\ \ \ \ 1/100` | |||
| column | |||
| and | `15/100` | `=` | `3/20` |
Answer: `0.15=3/20`
Example 4
Convert `0.678` to a fraction
| Remember | `0` | `.` | `1` | `1` | `1` |
| `darr` | `darr` | `darr` | |||
| `1/10` | `1/100` | `1/1000` |
Answer: `0.678=678/1000=339/500`
Example 5
Convert `25.6875` to a fraction
| Remember | `0` | `.` | `1` | `1` | `1` | `1` |
| `darr` | `darr` | `darr` | `darr` | |||
| `1/10` | `1/100` | `1/1000` | `1/(10,000)` |
Answer: `25.6875=25\ \ 6875/(10,000)=25 11/16`
