Fractional Equivalences

Words to Remember

"Tell me, I'll forget.
Show me, I'll remember.
Involve me, I'll understand."
– Chinese proverb

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Mission Statement

The Amador Valley Math Team seeks to foster a deeper understanding and enjoyment into the field of competitive and recreational mathematics through the school and the community.

Lessons‎ > ‎

by Eugene Chen of the Amador Valley Math Team

The following table should be memorized in order to get an advantage on speed-based math rounds.

$\begin{array}{|c|c|c|}\hline \textbf{FRACTION} & \textbf{DECIMAL} & \textbf{PERCENT} \\ [1ex]\hline\frac{1}{2}& 0...$

Exercise 1: Memorize this table. Then, get a friend to quiz you on it.

Problem 1: Prove that $\frac {1}{9} = 0.\overline{1}$ and $\frac {1}{11} = 0.\overline{09}$ . Understanding how to do this will be very helpful in Lesson 3.

Hint: Let $x = 0.\overline{1}$ . What can we do to this equation to eliminate the pesky repetition?

Amador Valley High School Math Team

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Fractional Equivalences

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