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