1. Fractions and Decimals
Chapter 8
Fractions and Decimals

2. Lessons 1- Fractions and Division
We can use place value to change a decimal to a fraction.
Example –
0.5 = five tenths = 5 10
We can divide to change a fraction to a decimal.
Example –
1 → 1 ÷
) 1.0
- 0 ↓ 10

3. Lesson 2 – Greatest Common Factor
Factors are numbers that can be divided evenly.
Example – List the factors of 12.
12 – 1, 2, 3, 4, 6, 12
Greatest Common Factors – the biggest factor that two numbers share.
The GCF will be 1 if no other numbers are the same.
Example – Find the GCF of 3 and 6.
3 – 1, 3
6 – 1, 2, 3, 6
GCF = 3

4. Lesson 3 – Simplest Form
A fraction is written in simplest form when the numerator and denominator have no common factors.
We can divide to simplify a fraction.
Examples:
→ simplified ÷ 2 = 3
2 – 1, – 1, 2, 3, 6
5 – 1, – 1, 2, 4, 8
No common factors

5. Lesson 5 – Least Common Multiple
With multiples, you multiply.
Example – List the first five multiples of 12.
12 – 12, 24, 36, 48, 60
Least Common Multiple – the lowest multiple that two numbers share.
Example – Find the LCM of 3 and 5.
3 – 3, 6, 9, 12, 15
5 – 5, 10, 15
LCM = 15

6. Lesson 6 – Compare Fractions
To compare fractions, cross multiply.
1 Ο 2
1 x 4 = 4 Place the 4 above 1/3
2 x 3 = 6 Place the 6 above 2/4
4 < 6 so <

7. Lesson 8 – Write fractions as decimals
Divide the denominator (bottom number) into the numerator (top number).
Your answer will be less than one. Drop zeros if there is a remainder.
3 → 3 ÷
) 3.00
- 0 ↓ 30
- 28 ↓ 20
- 20