1. The relationship between fractions and decimals

2. Two Questions 2
ponder

3. .6 What fraction of the rectangle is green? They sound alike!!!
What decimal part of the rectangle is green? .6

4. To write a decimal as a fraction, write the fraction as you would say the decimal
Hundredths
Ten-thousandths
tenths
Hundred-thousandths
Thousandths

5. Say the decimal….Write it as a fraction
Notice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!) .5
.65
.22 .2
.225

6. You have to simplify the fraction if possible
Is that all there is?
Of Course Not
You have to simplify the fraction if possible

7. Write .6 as a fraction
.6 =
Can be simplified to:
BUT
.6 = SO

8. What about fractions to decimals?
You can write a fraction as a decimal by dividing the numerator by the denominator…..the fraction symbol means division!

9. To make a decimal…do the division!
.00 28 20
.75

10. One more thing………
When you divide, REMEMBER, add zeros to finish your division.
AND
2 THINGS CAN HAPPEN

11. The division problem ends
A Terminating decimal
The division problem goes on forever….Repeating decimal

12. Repeating Decimals A single digit might repeat…. .3333….
Or a group of digits might repeat… ….

13. Show repeating decimals by placing a line over the digit or group of digits that repeats
.33333…. Becomes .3
And
….becomes .275

14. Remember Will be 1.4 1.2 will be Simplified to:
Whole numbers stay the same!

15. Homework
Page 212 in your textbook….
Problems 14-38
Start now!