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.

   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

2. 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.

3. 2.

   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
4. 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
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.

   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. 6.

   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. 7.

   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. 8.

   Zee reads a repeating decimal on a quiz. The block has 2 digits, so the figure slides the point 2 digits. In simplest form, what fraction is x?

   7/11
10. 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
11. 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