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Learn to express fractions in simplest form, write fractions as decimals, and decimals as fractions. Practice calculating Greatest Common Factors (GCF) for fractions. Includes vocabulary on terminating and repeating decimals. Homework and quiz prep included.

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Do Now

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  1. Do Now • Find the GCF of 12, 24 and 60 • Find the GCF of 36, 60 and 84

  2. Chapter 5 Lessons 3 and 4 Objectives: 1. Learn to express fractions in simplest form Write fractions as terminating or repeating decimals Write decimals as fractions

  3. Equivalent Fractions Fractions that have the same value

  4. Simplest Form When the GCF of the numerator and denominator is 1

  5. To write fractions in simplest form. • Find the GCF of the numerator and denominator • Divide the numerator and the denominator by the GCF • Check by multiplying the numerator and the denominator of the answer by the GCF. The result should be the original fraction.

  6. Lets try a few! 18 30 18: 1,2,3,6,9,18 30: 1,2,3,5,6,10,15,30 GCF is 6 18 30 3 5 ÷ 6 =

  7. Here are more! 16 32 1 3 3 9 ÷ ÷ 3 4 48 64 9 11 81 99 ÷ = ÷ 7 10 14 20 25 35 5 7 ÷ ÷

  8. You try some more! Write each fraction in simplest form. 12 24 56 84 1 2 2 3

  9. Write two fractions that are equivalent to each fraction. 1 2 3 5 6 7 2 4 6 10 12 14 3 6 9 15 18 21

  10. Fractions to Decimals

  11. Vocabulary Terminating Decimal When the division just ends or terminates, there is NO remainder Repeating Decimal When division does not end, it keeps going on and on usually having a pattern. Bar Notation Used in a repeating decimals to indicate the number(s) that repeat.

  12. Before we start lets practice bar notation _ .3455555 = .345 .29292929 = .29 .33333 = .3 .2131313 = .213 __ _ __

  13. Changing Fractions to Decimals(Terminating Decimal) 5 8 .6 2 5 )¯¯¯ 8 5 .00 48 20 16 40 40

  14. Write each fraction as a decimal 3 8 4 5 7 20 1

  15. Changing Fractions to Decimals(Repeating Decimals) 4 9 .4 4 4 4 .4 )¯¯¯ 9 4 .000 36 40 36 40 36

  16. Write each fraction or mixed number as a decimal. Use bar notation if the decimal is repeating. 5 8 2 3 = .625 = 0.6

  17. Try these = 1.27 = 6.4 3 11 2 5 1

  18. One more! 4 6 4 = 4.83

  19. Class work • Page 209 numbers 9 – 23 odd

  20. Changing decimals to fractions • Determine the amount of decimal places • Put the number over a power of 10 • simplify

  21. Here are some examples! .3 3 10 2.8 8 10 4 5 .56 56 100 14 25 2 2

  22. You try some! 0.22 11 50 0.1 1 10

  23. Class work • Page 15 – 31 odd numbers

  24. Homework Page 209 numbers 8 – 22 even Page 212 numbers 14 – 30 even You will have a mid-chapter quiz Tuesday of next week on divisibility rules, 5-1, 5-2, 5-3 and 5-4

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