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In this lesson, we will learn how to write repeated decimals as fractions, and vice versa.

Q1:

Express as a decimal.

Q2:

Which of the following is true?

Q3:

Which of the following fractions has a recurring decimal expansion?

Q4:

Convert into its decimal form.

Q5:

Q6:

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

Let . Find an expression for

Subtract from to find an expression for .

Find .

Q7:

Let Find an expression for .

Q8:

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

Q9:

Convert to a decimal.

Q10:

Convert 4 9 0 to a decimal.

Q11:

Convert to a fraction.

Q12:

Write 2 9 as a recurring decimal.

Q13:

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

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.

Q15:

Let . Find an expression for .

Find an expression for .

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