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Question
Write the following as rational numbers in their standard form:
35%
Solution
Given, 35% = `35/100`
| 7 | 35 |
| 5 | 5 |
| 1 |
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
By using prime factorisation, we get
35 = 7 x 5 and 100 = 2 x 2 x 5 x 5
∴ HCF of 35 and 100 = 5
On dividing numerator and denominator by their HCF, we get
`(35 ÷ 5)/(100 ÷ 5) = 7/20`
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