1. Converting Fractions and Decimals Objective: Learn to convert fractions and decimals.

2. Fractions and decimals are different ways of writing the same quantity. To convert from a decimal to a fraction, think of the place value the last number holds. For example: 0.7 reads seven tenths. 0.7 = 7 seven 0.7 = 7 seven 10 tenths 10 tenths After converting a decimal to a fraction, you have to write it in simplest form if possible. After converting a decimal to a fraction, you have to write it in simplest form if possible.

3. For Example: 0.5 = 0.5 = 0.23 = 0.23 = 2. 66 = 2. 66 =

4. To convert a fraction to a decimal… To convert from a fraction to a decimal, you have to divide the numerator by the denominator. The decimal you obtain will terminate or repeat. A ends. A terminating decimal ends. For example: 3 8

5. A repeating decimal repeats a pattern of digits. For example: 3 11 11 You can use to indicate that a number pattern repeats indefinitely. A bar is written only over the digits that repeat. You can use bar notation to indicate that a number pattern repeats indefinitely. A bar is written only over the digits that repeat.

6. For example: 34 34 257 257 6 1 = 6 + 1 = 6 + 0.5 = 6.5 6 1 = 6 + 1 = 6 + 0.5 = 6.5 2 2 2 2

7. Homework: Write each decimal as a fraction in simplest form. 1.0.2 2.0.9 3.0.55 4.0.34 5.0. 66 Write each fraction or mixed number as a decimal. Write if it is terminating or repeating. Use bar notation if the decimal is repeating. 6. 4 10. 2 5 5 7. 5 16 8. 8 11 9. 5 1 3