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Fractions as Decimals & Decimals as Fractions | Lesson 4

Learn how to write fractions as terminating or repeating decimals, and how to convert decimals into fractions. Includes examples and practice questions.

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Fractions as Decimals & Decimals as Fractions | Lesson 4

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  1. Transparency 4 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 4-5b Objective Write fractions as terminating or repeating decimals and write decimals as fractions

  4. Example 4-5b Vocabulary Terminating decimals A decimal whose digits end

  5. Example 4-5b Vocabulary Repeating decimals A decimal whose digits repeat forever

  6. Example 4-5b Vocabulary Bar notation An indication that a number repeats forever

  7. Lesson 4 Contents Example 1Write Fractions as Decimals Example 2Write Fractions as Decimals Example 3Write Fractions as Repeating Decimals Example 4Write Fractions as Repeating Decimals Example 5Write Decimals as Fractions

  8. Write as a decimal. Example 4-1a Write the fraction Use a calculator Enter numerator of 1 Enter division sign  1 8 ENTER Enter denominator of 8 Answer: Enter equal sign = 0.125 1/5

  9. Write as a decimal. Example 4-1b Answer: 0.4 1/5

  10. Write as a decimal. ENTER 7 3 5 Example 4-2a Write the mixed number Use a calculator Enter the whole number of 7 Enter the addition sign + Enter the numerator of 3 Enter the division sign  Answer: 7.6 Enter the denominator of 5 Enter the equal sign = 2/5

  11. Write as a decimal. Example 4-2b Answer: 3.625 2/5

  12. Write as a decimal. 1 11 ENTER Example 4-3a Write the fraction Use a calculator Enter the numerator of 1 Enter the division sign  Enter the denominator of 11 0.090909 Enter the equal sign = Answer: 0.09 Since 09 is being repeated in the decimal place a bar notation over the first 09 3/5

  13. Write as a decimal. Answer: Example 4-3b 3/5

  14. Write as a decimal. ENTER 6 4 9 Example 4-4a Write the fraction Use a calculator Enter the whole number of 6 Enter the addition sign + Enter the numerator of 4 Enter the division sign  Enter the denominator of 9 6.4444… Answer: Enter the equal sign = Since 4 is being repeated in the decimal place a bar notation over the first 4 4/5

  15. Write as a decimal. Answer: Example 4-4b 4/5

  16. Example 4-5a Write 0.72 as a fraction in simplest form. Write problem 72 The two is in the hundredths position so the denominator will be 100 The numerator will be the number to the right of the decimal Find the GCF of numerator and denominator 5/5

  17. Answer: Example 4-5a GCF = 4 Divide numerator by GCF of 4 Divide denominator by GCF of 4  4  4 5/5

  18. Answer: Example 4-5b * Write 0.85 as a fraction in simplest form. 5/5

  19. End of Lesson 4 Assignment

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