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Aristotle’s donkey travels 18 miles for every 9 gallons of water he drinks. Express this as a ratio in miles per gallon in lowest terms. |
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Hint 1 focuses on the concept of a ratio. It is a comparison of two numbers by division. Ratios do not convert to mixed numbers. |
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Hint 2 depicts the miles travelled and the gallons drunk and expresses that as an improper fraction. |
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Hint 3 reduces the improper fraction to lowest terms. |
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We can then see a brief summary of the step-by-step process, and can then choose to repeat the problem with different numbers. |
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The new numbers insure that the concepts are mastered rather than the answers memorized. |
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Hint 1 is different. |
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Hint 2 has different pictures for the different numbers. |
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Hint 3 has different pictures and a different answer. |