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. Read this first

   Use this

   Strip of the digits: 0.[2] [2] [2] ... Lines: x = 0.222... and 10x = 2.222.... Subtract: 10x - x = 2.

4. 3.

   Esme sees a repeating decimal on a robot's screen. The figure subtracts the lines to cancel the repeat. In simplest form, what fraction is x?

   2/9
5. 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
6. 5.

   Luz checks a repeating decimal on a quiz card. The figure subtracts the lines to cancel the repeat. In simplest form, what fraction is x?

   9/11
7. 6.

   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
8. 7.

   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
9. 8.

   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
10. 9.

    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
11. 10.

    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