Without using a calculator, determine the product of the following problem?
Questions to Consider
- What do you notice about multiplying a series of fractions where the previous denominator is the numerator of the following fraction?
- What other types of questions could you ask knowing this pattern? (i.e. what happens when you continue the pattern to 99/100 or 999/1,000?)
- Try adjusting the pattern to see what effect it has on the product. (as an example, try doubling the denominator)