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Question
Write the following as rational numbers in their standard form:
115 ÷ 207
Solution
Given, 115 ÷ 207 = `115/207`
| 5 | 115 |
| 23 | 23 |
| 1 |
| 3 | 207 |
| 3 | 69 |
| 23 | 23 |
| 1 |
By using prime factorisation, we get
115 = 5 × 23 and 207 = 3 × 23 × 3
∴ HCF of 115 and 207 = 23
On dividing numerator and denominator by their HCF, we get
`(115 ÷ 23)/(207 ÷23) = 5/9`
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