1. Warm Up Problems Find the greatest common factor. 1. 32 and 52 ______
Find the least common multiple.
2. 5 and 7 ______

2. Decimals and Fractions
Lesson 2-1

3. Objectives I can write decimals as fractions.
I can write fractions as decimals.

4. Vocabulary
rational number - any number that can be written as a fraction

5. Example 1
Write the decimal 0.6 as a fraction in simplest form. The place value chart shows that the place value of the last decimal place is tenths. 0.6 = 𝟔 𝟏𝟎 = 𝟑 𝟓
1,000
100 10 1
0.1
0.01
0.001
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 6

6. Example 2
Write the decimal 0.45 as a fraction in simplest form. Look to the place value of the last decimal place = = 9 20
1,000
100 10 1
0.1
0.01
0.001
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 4 5

7. Example 3
Write the decimal as a fraction in simplest form = = 3 8
1,000
100 10 1
0.1
0.01
0.001
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 3 7 5

8. Got It?
Write each decimal as a fraction in simplest form.
a) 0.8 b) c) 0.125

9. Example 4
The average length of a conch shell is 9.85 inches. Express 9.85 as a mixed number in simplest form.
9.85 =
÷ =
= inches

10. Got It?
It takes approximately 4.65 quarts of milk to make a pound of cheese. Express this amount as a mixed number in simplest form.

11. Example 5
Write as a decimal. (Hint: You can use a ratio table)

12. Example 5 - Continued
You cannot have a remainder.
Keep adding zeros.

13. Got It?
a) b)