8th grade Turn a repeating decimal into a fraction worksheet

Turn a repeating decimal into a fraction

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?
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. 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?
5. 4.

   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?
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?
7. 6.

   Strip of the digits: 0.[36] [36] ... Lines: x = 0.3636... and 100x = 36.3636.... Pia notes a repeating decimal for a puzzle. The block has 2 digits, so the figure slides the point 2 digits. In simplest form, what fraction is x?
8. 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?
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?
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?
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?