A reporter determines a baseball player's batting average, which is a ratio of the number of hits to number of times at bat. The result is shown on a calculator as 0.212121 ... Write this repeating decimal as a fraction.

Question

Aldo Moody

Mathematics

29 January, 19:03

A reporter determines a baseball player's batting average, which is a ratio of the number of hits to number of times at bat. The result is shown on a calculator as 0.212121 ... Write this repeating decimal as a fraction.

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Answers (1)

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Chanel Waller · Answer 1

21/99 or 7/33

Step-by-step explanation:

x = 0.212121

Then we multiple the decimal and x by hundred.

100x = 21.212121

Then we subtract the 21.212121 by 0.212121.

100x = 21.212121 - 0.212121

But when you are subtracting 100x, you need to subtract 100x by x because in the first step it said x = 0.212121.

100x - x = 21.212121 - 0.212121

You will have at the end is

99x = 21

Divide 99 on both side and you left with

21/99 or 7/33 simplified version