Worksheet

Turn a repeating decimal into a fraction

Grade 8 Math Worksheet - Building Confidence

NameDate

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

  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. 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. 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. 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. 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. 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. 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. 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. 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. 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?

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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. 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. 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. 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. 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

  6. 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. 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?

    4/11

  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

  9. 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. 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. 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