1. Rational Numbers
Juan, Billy, and Charlene participated in a one minute pie-eating contest with 25 contestants. The trio came in the top three. Juan ate 3/5 of his pie, Billy ate 5/9 of his pie, and Charlene ate 4/7 of her pie. What place did each of them finish? Explain your answer without using a calculator. You can draw a picture if needed.

2. ANSWER (1) Juan 0.6 (2)Charlene 0.571428571428571428571428
(3) Billy
What do notice about answers #2 and #3.
They are repeating decimals while the answer for #1 is a terminating decimal.

3. Rational Numbers Common Core #1 Continued
Understand that every number has a decimal expansion and for rational numbers show that each decimal expansion terminates or eventually repeats.

4. Fractions to Decimals 0. 7 5 -2 8 2 -2 0
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
For example, to change into a decimal, you would
divide the 3 by the 4. 0. 7 5
-2 8 2
-2 0
This is called a TERMINATING DECIMAL.
(it comes to an end, as in terminate a game!)

5. Fractions to Decimals 0. 3 5 -6 0 1 0 -1 0 0
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal. 0. 3 5
-6 0
1 0
-1 0 0
This is called a TERMINATING DECIMAL.
(it comes to an end, as in terminate a game!)

6. Fractions to Decimals 0. 3 3 3…….. - 9 1 - 9 1 - 9 1
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal. 0. 3 3
3……..
- 9 1
- 9 1 1
This is called a REPEATING DECIMAL.
(a pattern in the digits repeats forever!)

7. Fractions to Decimals
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal.
We already know that ¾ = 0.75
Memorizing some conversions like these will make things a lot EASIER!
¼ = ½ = ¾ = 0.75
(one quarter) (half of a dollar) (three quarters)

8. Fractions to Decimals 0. 3 7 5 -2 4 6 - 5 6 4 - 4 0
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal. 0. 3 7 5
-2 4 6
- 5 6 4
- 4 0

9. Notebook/Board Examples
Convert the following fractions to decimals
(1) (2) (3) (4) (5)

10. 25/100 = 1/4 Decimals to Fractions
To change a decimal into a fraction, you place the decimal number over the correct pace value position as a fraction ( #/10 #/100 #/1000)
For example, to change 0.25 into a fraction, you would place 25 over a denominator of 100 since it is read “twenty-five hundredths”.
25/100 = 1/4

11. Decimals to Fractions Lets convert 0.6 to a fraction in simplest form
How do you say 0.6?
“six-tenths”
So 6/10 or 3/5 in simplest form

12. Decimals to Fractions
Lets convert to a fraction in simplest form
How do you say 3.345?
“Three and three-hundred-forty-five thousandths”
So 3 345/1000 in or 3 69/200 in simplest form

13. Decimals to Fractions Answers 17/25 (2) 1 11/50 (3) -7/8
You try these 3 for your Notebook Examples
0.68 (2) (3)
Answers
17/25
(2) 1 11/50
(3) -7/8

14. BIG DOG QUESTION Write the following decimal as a fraction:
……………………………………….
Answer is /999

15. Additional Questions if needed Page 8 11-17 & 19-25