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  • 1. Conversions Decimals to Fractions and Fractions to Decimals
  • 2. What are we learning? In this lesson you will learn how to convert decimals to fractions and fractions to decimals
  • 3. How to Convert Decimals to Fractions Use the place value of the last digit in the number to determine what the denominator of the fraction will be.
  • 4. How to Convert Decimals to Fractions .24
  • 5. How to Convert Decimals to Fractions .5 The 5 is in the tenths place 10 5
  • 6. How to Convert Decimals to Fractions .84 The 4 is in the hundredths place 100 84
  • 7. What if there is a whole number before the decimal point? 1.589 The 9 is in the thousandths place 1000 589 1
  • 8. What if there is a whole number before the decimal point? 25.5 The 5 is in the tenths place 10 5 25
  • 9. How to Convert Fractions to Decimals 100 23 This is the hundredths place so the 3 needs to be in the hundredths place. 2 3 .23
  • 10. How to Convert Fractions to Decimals 1000 567 This is the thousandths place so the 7 needs to be in the thousandths place. 5 6 .567 7
  • 11. How to Convert Fractions to Decimals 1000 4 This is the thousandths place so the 4 needs to be in the thousandths place. 0 0 .004 4
  • 12. How to Convert Fractions to Decimals 10 2 This is the tenths place so the 2 needs to be in the tenths place. 2 .2
  • 13. What if there is a whole number before the fraction? 1000 567 This is the thousandths place so the 7 needs to be in the thousandths place. 5 6 3.567 7 3 3
  • 14. How to Convert Fractions to Decimals 1000 34 24.034 24 This is the thousandths place so the 4 needs to be in the thousandths place.
  • 15. Suppose You Can’t Use A Denominator of 10? 6 5 Divide the Numerator by the Denominator
  • 16. Suppose You Can’t Use A Denominator of 10? 6 5 6 5 .0 . 8 4 8 2 0 0 3 18 2 .83
  • 17. Suppose You Can’t Use A Denominator of 10? 3 2 3 2 .0 . 6 1 8 2 .6
  • 18. Try Some . . . 8 7 50 5 10 6 4 3 16 12 40 3
  • 19. Try Some . . . .35 .25 .95 .6 .875 .125