Turn a repeating decimal into a fraction

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Ari reads a repeating decimal on a calculator. The figure subtracts the lines to cancel the repeat. In simplest form, what fraction is x?

   5/9
2. 2.

   Bo copies a repeating decimal into a notebook. The figure subtracts the lines to cancel the repeat. In simplest form, what fraction is x?

   3/11
3. 3.

   Jun finds a repeating decimal in a math book. The figure subtracts the lines to cancel the repeat. In simplest form, what fraction is x?

   5/11
4. 4.

   Kira writes a repeating decimal on a sticky note. The figure subtracts the lines to cancel the repeat. In simplest form, what fraction is x?

   7/9
5. 5.

   Milo puts a repeating decimal on a poster. The figure subtracts the lines to cancel the repeat. In simplest form, what fraction is x?

   4/33
6. 6.

   Noah reads a repeating decimal on a phone. The block has 1 digit, so the figure slides the point 1 digit. In simplest form, what fraction is x?

   8/9
7. 7.

   Ren types a repeating decimal into a spreadsheet. The block has 1 digit, so the figure slides the point 1 digit. In simplest form, what fraction is x?

   4/9
8. 8.

   Tala tests a repeating decimal in a math game. The block has 2 digits, so the figure slides the point 2 digits. In simplest form, what fraction is x?

   6/11
9. 9.

   Ari copies a repeating decimal from the board. The block has 2 digits, so the figure slides the point 2 digits. In simplest form, what fraction is x?

   5/33
10. 10.

    Strip of the digits: 0.[21] [21] ... Lines: x = 0.2121... and 100x = 21.2121.... Bo finds a repeating decimal on a worksheet. The block has 2 digits, so the figure slides the point 2 digits. In simplest form, what fraction is x?

    7/33