1. Converting Between Fractions & Decimals

2. Converting Mixed Numbers to Improper Fractions
Use the rule: Denominator Times Whole Number Plus Numerator over Denominator
Whole Number
SIMPLIFY the fraction if necessary!

3. Converting Fractions to Decimals
To convert a fraction to a decimal, use LONG DIVISION.
Example:
Remember: Top Dog in the house. The number on top goes in the division house.

4. Converting Decimals to Fractions terminating decimals
To convert a decimal to a fraction, use a PLACE VALUE TABLE to write the number.
Example: 8.17
TENS
ONES
TENTHS
HUNDREDTHS
THOUSANDTHS 8 1 7 ●
The NAME of the place value tells us the denominator !

5. Repeating Decimals!!! Example: Let
How many digits appear under the repetition line? 2
So multiply each side by 1 followed by 2 zeros (100). or
Now subtract x from both sides and solve the equation:
_____________

6. Repeating Decimals!!! Example: Let
How many digits appear under the repetition line? 3
So multiply each side by 1 followed by 3 zeros (1000). or
Now subtract x from both sides and solve the equation:
_______________

7. Try These