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**Fractions and Decimals**

Chapter 8 Fractions and Decimals

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**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

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**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

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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

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**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

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**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 <

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**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

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