In yesterday's basketball game, Raul made 77.7% of his shots What fraction of his shots did he make?
1. How would you write 77.7% as a decimal? Set that decimal
equal
to x. What digit or digits repeat?
2. Multiply each side of the equation by a power of 10 to get the
repeating digit(s) to the left of the decimal point. Since you only
need to move one place, multiply each side by 10.
3. Subtract the equation in Exercise 1 from the equation in Exercise 2.
Then simplify.
4. Divide each side of the equation by 9 to solve for x. What fraction is
equal to x? Show your work.
5. What fraction of Raul's shots did he make?