Question 15 of 43advanced🔍 AnalyzeShort Answer3 marks

Can you find three different fractional units that add up to 1?

Correct Answer

Yes, the three different fractional units that add up to 1 are: 1/2 + 1/3 + 1/6 = 1. This is the only solution (up to changing the order).

Exercise: Puzzle | Q: 1 | (Chapter: Page 34)
For More Understanding

Explanation

The chapter explains that to find three different fractional units adding to 1, we start with 1/3 + 1/3 + 1/3 = 1. To make them different, we must increase one and decrease others. The only way to increase 1/3 is to replace it with 1/2. Then 1/2 + 1/4 + 1/4 = 1, but we need different units. So we increase one 1/4 to 1/3, giving 1/2 + 1/3 + 1/6 = 1.

Solution Steps

  1. Step 1: Start with 1/3 + 1/3 + 1/3 = 1

  2. Step 2: To make different, increase one to 1/2 (only possible increase)

  3. Step 3: Then 1/2 + 1/4 + 1/4 = 1, but need different units

  4. Step 4: Increase one 1/4 to 1/3: 1/2 + 1/3 + 1/6 = 1

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