1. Kristi Walker 4 th Grade How to Convert Fractions to Decimals

2. When you see a Fraction Bar you should think Divide / = ÷

3. Step 1: Divide the numerator by the denominator 1

4. 1 1/4 = 1 ÷ 4 = 0.25 How it works… Lets look at the fraction 1/4: 4 Remember…. A fraction bar is just like a division sign.

5. 1 1/2 = 1 ÷ 2 = 0.5 How it works… Lets look at the fraction 1/2: 2

6. 3 3/4 = 3 ÷ 4 = 0.75 How it works… Lets look at the fraction 3/4: 4

7. 1 2 1/4 How it works… Now, lets look at the mixed number 2 1/4: 4 2 First: Put your whole number on the left hand side of the decimal pint. 2.2. Second: Convert the fraction to a decimal and put it on the right side of the decimal point. 1/4 = 1 ÷ 4 = 0.25 2.25 Whole Part WholePart.

8. 1 5 1/5 How it works… Now, lets look at the mixed number 5 1/5: 5 5 5.25.2 Whole Part WholePart.

9. 6 9 6/8 How it works… Now, lets look at the mixed number 9 6/8: 8 9 9.75 Whole Part WholePart.

10. What decimal does 4/10 represent? 0.4 What fraction of the shape is shaded? 4/10 Name the Fraction and the Decimal:

11. What decimal does 35/100 represent? 0.35 What fraction of the shape is shaded? 35/100 Name the Fraction and the Decimal:

12. What decimal does 2/5 represent? 0.4 What fraction of the shape is shaded? 2/5 Name the Fraction and the Decimal:

13. What decimal does 5/8 represent? 0.625 What fraction of the shape is shaded? 5/8 Name the Fraction and the Decimal:

14. What decimal does 3 4/10 represent? 3.4 What mixed number of the shape is shaded? 3 4/10 Name the Mixed Number and the Decimal:

15. What decimal does 1 3/4 represent? 1.75 What mixed number of the shape is shaded? 1 3/4 Name the Fraction and the Decimal:

16. What decimal does 2 99/100 represent? 2.99 What fraction of the shape is shaded? 2 99/100 Name the Fraction and the Decimal:

17. .4 How it works… How do I convert a decimal back to a fraction? Tenths Step 1: Determine the place value for the last digit in your decimal. 0. 4 Step 2: The number in your decimal will become the numerator and the place its in will become the denominator. 4/10 Ones

18. .32 How it works… Lets look at 0.32 Step 1: Determine the place value for the last digit in your decimal. 0. 3 2 Step 2: The number in your decimal will become the numerator and the place its in will become the denominator. 32/100 TenthsOnes Hundredth s

19. .9 How it works… Lets look at 0.9 Tenths 0. 9 9/10 Ones

20. .71 How it works… Lets look at 0.71 0. 7 1 71/100 TenthsOnes Hundredth s

21. Guided Practice: Write a fraction and a decimal: 1. 0.21 2. 20/25 3. 0.09 4. 7/100 5. forty-three hundredths 6. one fifth 7. 8.

22. Independent Practice: Math Book pg. 432 # 11-32

23. WHY DO I NEED TO KNOW HOW TO CONVERT BETWEEN FRACTIONS AND DECIMALS? ?

24. What have we learned that could help us if we saw this problem? ¾.8

25. .80.75 We know how to change ¾ to a decimal. How would that help? ¾.8 3 ÷ 4 =.75.8.75 <

26. .80.75 Lets try another… 6/8.7 6 ÷ 8 =.75.7.75 >

27. Lets try another… ¼.25 1 ÷ 4 =.25 =

28. You try… ½.48 1 ÷ 2 =.5 >

29. You try… 4/5.92 4 ÷ 5 =.8 <

30. What have we learned that could help us if we saw this problem? Order from least to greatest ¾ ; 0.72 ; 0.8

31. .80.75 We know how to change ¾ to a decimal. How would that help? ¾ ; 0.72 ; 0.8 3 ÷ 4 =.75.72.8 Order from least to greatest 0.72 ; ¾ ; 0.8

32. 0 Lets try another… ½ ; 0.49 ; 0.51 1 ÷ 2 =.5.49.51 Order from least to greatest 0.49 ; ½ ; 0.51

33. .80.75 You try… 4/5 ; 0.9 ; 0.76 4 ÷ 5 =.8.9.76 Order from least to greatest 0.76 ; 4/5 ; 0.9.0.0

34. .80.75 You try… 1/5 ; 0.3 ; 0.25 1 ÷ 5 =.2.3.25 Order from least to greatest 1/5 ; 0.25 ; 0.3.0.0

35. Independent Practice: Comparing and Ordering Worksheet