Question

Part A.) in another baseball game division, one team had a winning percentage of 0.444... what fractions of the game did the team win? *with full steps please* Part B.)How do you know what power of 10 to multiply by in the second step at the right?

Answer 1

4/9

Explanation:

0.4444... can be written as a geometric series with first term 0.4 and common ratio 0.1. Each new digit is 0.1 times the previous digit.

0.4

Then 0.4444... = ------------ = 0.4/0.9 = 4/9

1 - 0.1

You may check this result by dividing 4 by 9 on a calculator.