Converting Fractions and

Decimals

Objective:

Learn to convert fractions and decimals.

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 10 tenths

• After converting a decimal to a fraction, you have to write it in simplest form if possible.

For Example:

0.5 =

0.23 =

2. 66 =

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.

For example: 3 8

A repeating decimal repeats a pattern of digits.

For example: 3 11

You can use bar notation to indicate that a number pattern repeats indefinitely. A bar is written only over the digits that repeat.

For example:

3 4 25 7

• 6 1 = 6 + 1 = 6 + 0.5 = 6.5 2 2

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