This document provides an introduction to fractions and decimals for 7th grade math students. It defines fractions and decimals, explains how they are equivalent, and demonstrates how to convert between fractions and decimals. The lesson includes examples and practice problems for students to apply the concepts. It is intended to take approximately 20 minutes to complete.

1. Fractions and Decimals By Kari Knisely

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

32. Converting Decimal to Fraction

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

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