1. Bell Work: Divide without using a calculator. 1. 36  3 2. 144  6 12
1. 36   6 12 24
False
3. T/F? The denominator of ¾ is 3?
4. Change to a mixed number: 33/8
4 1/8

2. Learning Target:
I can
Simplify fractions
Write decimals as fractions

3. Vocabulary rational number relatively prime terminates repeats
- any number that can be written as a fraction
- any number that terminates or repeats
terminates repeats
- two numbers whose only shared factors are 1
- a fraction that can’t be reduced

5. I can simplify fractions
Let me show you one:
Find a number that will divide evenly into both
16 80
How about 8? =
16 ÷ 8
80 ÷ 8
Divide the numerator and denominator by 8. 16 80 2 10 =
2 ÷ 2
10 ÷ 2
Do you need to reduce more?
1 5 =

6. I can simplify fractions
Try this one with your partner:
–18 29
18 = 2 • 9
29 = 1 • 29
;There are no common factors.
–18 29 =
–18 29
18 and 29 are relatively prime.

7. I can simplify fractions
Try this by yourself:
18 27
9 is a common factor. 18 27 =
18 ÷ 9
27 ÷ 9
Divide the numerator and denominator by 9.
2 3 =

8. I can write decimals as fractions
Steps:
1. Write a fraction. Use the numbers after the decimal as the numerator.
2. Count the number of places AFTER the decimal. This will be the number of zeros in the denominator.
3. Put a 1 in front of the zeros
4. Simplify the fraction

9. I can write decimals as fractions
Let me show you two examples:
A. 5.37
37 100
= 5
5.37
7 is in the hundredths place. B =
2 is in the thousandths place.
0.622
Simplify by dividing by the common factor 2. =

10. I can write decimals as fractions
Try these with your partner:
A. 8.75
75 100
= 8
8.75
5 is in the hundredths place.
Simplify by dividing by the common factor 25.
= 8
3 4 B
,000 =
5 is in the ten-thousandths place.
0.2625 =
21 80
Simplify by dividing by the common factor 125.

11. Have you mastered today’s learning targets?
Then, prove it with this four question quiz!

12. Lesson Quiz
Simplify.
18 42
3 7
15 21
5 7 1. 2.
Write each decimal as a fraction in simplest form.
27 100 –
5 8
4. –0.625

13. Use your calculator only for emergencies and to check your work.
Assignment:
page 8, problems 1 – 18
Use your calculator only for emergencies and to check your work.