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Lesson: Converting between Repeating Decimals and Fractions

Sample Question Videos

Worksheet • 15 Questions • 1 Video

Q1:

Express as a decimal.

  • A
  • B0.56
  • C0.83
  • D0.84
  • E

Q2:

Which of the following is true?

  • A
  • B
  • C

Q3:

Which of the following fractions has a recurring decimal expansion?

  • A 8 1 3
  • B 3 5
  • C 3 8
  • D 3 4
  • E 1 2

Q4:

Convert into its decimal form.

  • A
  • B0.4
  • C0.3
  • D0.33
  • E0.34

Q5:

Convert into its decimal form.

  • A
  • B0.7
  • C0.6
  • D
  • E0.67

Q6:

Answer the following questions for the recurring decimal , that is, .

Let . Find an expression for

  • A
  • B
  • C
  • D
  • E

Subtract from to find an expression for .

  • A
  • B
  • C
  • D
  • E

Find .

  • A
  • B
  • C
  • D
  • E

Q7:

Answer the following questions for the recurring decimal , that is, .

Let Find an expression for .

  • A
  • B
  • C
  • D
  • E

Subtract from to find an expression for .

  • A
  • B
  • C
  • D
  • E

Find .

  • A
  • B
  • C
  • D
  • E

Q8:

Evaluate 0 . ̇ 8 ÷ | | | 5 4 | | | giving the answer in its simplest form.

  • A 3 2 4 5
  • B 1 6 2 5
  • C 4 5 3 2
  • D 1 0 9

Q9:

Convert to a decimal.

  • A
  • B
  • C
  • D
  • E

Q10:

Convert 4 9 0 to a decimal.

  • A 0 . 0 ̇ 4
  • B 0 . 0 ̇ 4
  • C 0 . ̇ 4
  • D 0 . ̇ 5
  • E 0 . 1 ̇ 5

Q11:

Convert to a fraction.

  • A
  • B
  • C
  • D
  • E

Q12:

Write 2 9 as a recurring decimal.

  • A 0 . 2
  • B 0 . 2 2
  • C 0 . 3
  • D 0 . 2 2 2

Q13:

Which of the following is a fraction that can be expressed as a repeating decimal with two different alternating digits?

  • A 1 3 3
  • B 1 6 1 9
  • C 1 3 4
  • D 4 1 7
  • E 2 3

Q14:

Nader was told he could have or 0.34 of the total jam inside a jar. Convert to a decimal, and determine which option would give Nader more jam.

  • A , 0.34 of the total jam
  • B0.3, of the total jam
  • C , of the total jam
  • D0.3, 0.34 of the total jam
  • E0.32, 0.34 of the total jam

Q15:

Answer the following questions for the recurring decimal , that is, .

Let . Find an expression for .

  • A
  • B
  • C
  • D
  • E

Find an expression for .

  • A
  • B
  • C
  • D
  • E

Subtract from to find an expression for .

  • A
  • B
  • C
  • D
  • E

Find .

  • A
  • B
  • C
  • D
  • E
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