# Ratio, Proportion and Percentages Puzzle – Critical Thinking 7

This kind of math puzzle is an educational activity for practicing children's math skills. It's also helpful for adults to have fun and challenge their brains!

## Challenge:

\((1-\frac{1}{2}) × (1 -\frac{1}{2}) × (1-\frac{1}{4} ) × … × (1-\frac{1}{100} ) =\) ?

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The correct answer is \(\frac{1}{100}\).

First, simplify the expression.

\((1-\frac{1}{2}) × (1 -\frac{1}{2}) × (1-\frac{1}{4} ) × … × (1-\frac{1}{100} ) =\) ?

\((\frac{1}{2} ) × ( \frac{2}{3}) × ( \frac{3}{4}) × … × ( \frac{99}{100}) =\)

Remove the same numbers from both numerator and denominator. For example, cancel out \(2, 3, 4,\) … from both numerator and denominator. You’ll get:\(\frac{1}{100}\)

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