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

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.
Ex. 1: = seven
10 tenths
After converting a decimal to a fraction, you have to write it in simplest form if possible.
Ex.2: = 48 = 24 =

3. For Example:
0.5 =
0.23 = =

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 terminating decimal ends. A repeating decimal will never end. It repeats a pattern of digits.
For example: =

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

6. Your example: Convert the fractions to a decimal
Your example: Convert the fractions to a decimal. Then say if they are terminating or repeating.
= = = 6.5

7. Homework:
Write each fraction or mixed number as a decimal. Write if it is terminating or repeating. Use bar notation if the decimal is repeating.
7. 2 5
8. 5 16
9 . 8 11 6
Write each decimal as a fraction in simplest form.
0.2
0.9
0.55
0.34
0. 66
Extra Credit