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Express 45 minutes to 2 hours as a ratio in its simplest form.

Class 7Comparing QuantitiesComparing Quantities
  • A3 : 8
  • B45 : 2
  • C8 : 3
  • D9 : 24

Step-by-Step Solution

Both quantities must be in the SAME unit before a ratio is written. 2 hours = 120 minutes, so the ratio is 45 : 120. Divide both terms by their HCF, 15: 3 : 8. Writing 45 : 2 compares minutes with hours and is meaningless. 8 : 3 has the terms the wrong way round, and 9 : 24 divides by 5 only, so it is correct but not yet in simplest form.
Answer: A) 3 : 8

Key idea: Three forms of the same number

Fractions, decimals, and percentages are three notations for the same idea. Convert freely:

- **Fraction → percentage**: multiply by 100. .
- **Percentage → fraction**: divide by 100 and simplify. .
- **Decimal → percentage**: shift two places right. 0.34 = 34%.
- **Percentage → decimal**: shift two places left. 8% = 0.08.

With practice, this becomes automatic and you can move between forms without thinking.

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