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- 1. Fractions and Decimals By Kari Knisely
- 2. Introduction <ul><li>Objective: </li></ul><ul><li>The learner will understand how fractions and decimals are equivalent as well as how to convert between fractions and decimals. </li></ul><ul><li>Target Audience: </li></ul><ul><li>The intended audience includes middle school 7 th grade math students. </li></ul><ul><li>Viewable: </li></ul><ul><li>Having access to the Internet will allow you to view this presentation or you can download to view as well if PowerPoint is an application on your computer. </li></ul><ul><li>Duration: </li></ul><ul><li>The lesson should take approximately 20 minutes to complete. </li></ul>
- 3. Table of Contents <ul><li>Fractions </li></ul><ul><li>Decimals </li></ul><ul><li>Convert a fraction to a decimal </li></ul><ul><li>Convert a decimal to a fraction </li></ul><ul><li>Examples </li></ul><ul><li>Practice </li></ul><ul><li>Conclusion </li></ul>
- 4. Fractions
- 5. Fractions 1 4
- 6. Decimals 0.25
- 7. Fractions = Decimals 1 4 = 0.25
- 8. What is a fraction?
- 9. Part vs Whole Part = How many pieces are shaded?
- 10. Part vs Whole Part = How many pieces are shaded? 1
- 11. Part vs Whole Part = How many pieces are shaded? This number will be your numerator 1
- 12. Part vs Whole Part = How many pieces are shaded? This number will be your numerator 1 1
- 13. Part vs Whole Whole = How many pieces is the whole divided into? 1
- 14. Part vs Whole Whole = How many pieces is the whole divided into? 1 1
- 15. Part vs Whole Whole = How many pieces is the whole divided into? 1 2 1
- 16. Part vs Whole Whole = How many pieces is the whole divided into? 1 2 3 1
- 17. Part vs Whole Whole = How many pieces is the whole divided into? 1 2 3 4 1
- 18. Part vs Whole Whole = How many pieces is the whole divided into? This number will be your denominator 1 2 3 4 1
- 19. Part vs Whole Whole = How many pieces is the whole divided into? This number will be your denominator 1 4 2 3 4 1
- 20. Decimals
- 21. What is the value with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece?
- 22. $1.00 divided into 4 pieces
- 23. $1.00 divided into 4 pieces .25
- 24. $1.00 divided into 4 pieces .25 .25
- 25. $1.00 divided into 4 pieces .25 .25 .25
- 26. $1.00 divided into 4 pieces .25 .25 .25 .25
- 27. What is this with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece? .25 .25 .25 .25
- 28. What is this with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece? .25 .25 .25 .25 Each piece is worth .25
- 29. Converting Fraction to Decimal
- 30. Converting a Fraction to a Decimal <ul><li>When given a fraction and you need the decimal conversion </li></ul><ul><li>- Divide the numerator by the denominator. </li></ul>
- 31. Converting a Fraction to a Decimal <ul><li>When given a fraction and you need the decimal conversion </li></ul><ul><li>- Divide the numerator by the denominator. </li></ul>4 5 = 0.8
- 32. Converting Decimal to Fraction
- 33. Converting a Decimal to a Fraction <ul><li>When given a decimal and you need the fraction conversion </li></ul><ul><li>Numerator </li></ul><ul><ul><li>The digits to the right of the decimal point </li></ul></ul><ul><li>Denominator </li></ul><ul><ul><li>The place value of the last digit </li></ul></ul><ul><li>3. Simplify into simplest form if necessary </li></ul>
- 34. Converting a Decimal to a Fraction Numerator will be the digits to right of decimal point.
- 35. Converting a Decimal to a Fraction Numerator will be the digits to right of decimal point. 24
- 36. Converting a Decimal to a Fraction Denominator will be place value of last digit. Tenths Hundredths Ones 24
- 37. Converting a Decimal to a Fraction Denominator will be place value of last digit. Tenths Hundredths Ones 100 24
- 38. Converting a Decimal to a Fraction 100 24 ÷ 4 Simplify if needed…. - Divide top and bottom by same number til you can’t anymore =
- 39. Converting a Decimal to a Fraction 100 24 ÷ 4 Simplify if needed…. - Divide top and bottom by same number til you can’t anymore = 6 25
- 40. Examples
- 41. Fractions = Decimals .60 = = .66 = .50
- 42. Practice
- 43. 1. What fraction represents this picture? (select your answer) <ul><li>6 </li></ul><ul><li>4 </li></ul>B. 4 6 C. 2 4 D. 4 2
- 44. 1. What fraction represents this picture? <ul><li>6 </li></ul><ul><li>4 </li></ul>B. 4 6 C. 2 4 D. 4 2 GREAT JOB!
- 45. 1. What fraction represents this picture? <ul><li>6 </li></ul><ul><li>4 </li></ul>B. 4 6 C. 2 4 D. 4 2 4 shaded pieces 6 total pieces 1 2 3 4 5 6
- 46. 2. How do we divide the fraction into a decimal? (select your answer) 4 6 A. 6 4 B. 4 6
- 47. 2. How do we divide the fraction into a decimal? 4 6 A. 6 4 B. 4 6 Great Job!
- 48. 2. How do we divide the fraction into a decimal? 4 6 A. 6 4 B. 4 6 Remember: Numerator inside Denominator outside
- 49. Conclusion <ul><li>You have learned the basics of fraction and decimal equivalency as well as how to convert from one type of number to another. </li></ul><ul><li>If you would like additional practice visit the following website. </li></ul><ul><ul><li>Fractions to Decimals </li></ul></ul><ul><ul><li>Decimals to Fractions </li></ul></ul>
- 50. Works Cited <ul><li>Images retrieved from google images </li></ul>

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