Practice Objectives
  • Demonstrate an understanding of the addition property of equality
  • Demonstrate an understanding of the multiplication property of equality
  • Demonstrate the ability to convert a repeating decimal into a fraction

Practice Converting a Repeating Decimal into a Fraction


Instructions:

Answer 7/10 questions correctly to pass.

Convert each repeating decimal into a fraction.

Report your answer as a simplified fraction or a whole number (when possible).


Problem:

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Your answer was: 0

The correct answer was: 0


Converting a Repeating Decimal into a Fraction:

Scenario 1:

When the series of repeating digits begins immediately after the decimal point.

  1. Write the repeating part of the number in the numerator of a fraction
  2. Write the denominator of the fraction as the same number of 9's as we have digits in the numerator
  3. Simplify the fraction

Scenario 2:

When the series of repeating digits does not begin immediately after the decimal point.

  1. Set the repeating decimal equal to a variable
    • We will refer to this as equation #1
  2. Multiply both sides of the equation by 10n where n is the number of digits in the repeating pattern
    • We will refer to this as equation #2
  3. Subtract away equation #1 from equation #2
    • We do this by subtracting the left side of equation #1 away from the left side of equation #2 and the right side of equation #1 from the right side of equation #2
  4. Solve the equation, this will give us the fractional equivalent for our repeating decimal
  5. Simplify the fraction

Step-by-Step:


You Have Missed 4 Questions...

Your answer should be a number!

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Current Score: 0%

Correct Answers: 0 of 7

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Wrong Answers: 0 of 3

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Wow! You have mastered Converting a Repeating Decimal into a Fraction!

Correct Answers: 0/0

Your Score: 0%

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