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1. Fractions that represent the same value are equivalent fractions. So are equivalent fractions. 12 24 48 Vocabulary = =

2. Example 1 Find two equivalent fractions for . 4 __ 6

3. 3 __ 5 Example 2: Multiplying and Dividing to Find Equivalent Fractions Find the missing number that makes the fractions equivalent. ___ = 20

4. 3 __ 9 Example 3 Find the missing number that makes the fraction equivalent. ___ = 27

5. Vocabulary Every fraction has one equivalent fraction that is called the simplest form of the fraction. A fraction is in simplest form when the GCF of the numerator and the denominator is 1.

6. Example 4: Writing Fractions in Simplest Form Write each fraction in simplest form. 20 ___ 48

7. 7 ___ 10 Example 5: Writing Fractions in Simplest Form Write the fraction in simplest form.

8. 12 ___ 16 Example 6 Write each fraction in simplest form. 12 ___ 16

9. 1 1 3 1 1 __ __ __ __ __ 1 1 1 2 2 4 2 4 4 2 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 Vocabulary A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number. 3 __ 4 Mixed numbers 12 34 14

10. Example 7: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 0.67

11. Example 8: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 5.9

12. Example 9 Write each decimal as a fraction or mixed number. 3.07

13. 3 ____ 20 Example 10: Writing Fractions as Decimals Write each fraction or mixed number as a decimal.

14. 1 __ 3 Example 11: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. 6

15. Common Fractions and Equivalent Decimals 1 2 1 1 1 3 2 3 4 __ __ __ __ __ __ __ __ __ 5 3 4 3 2 4 5 5 5 0.2 0.25 0.3 0.4 0.5 0.6 0.6 0.75 0.8 Vocabulary A terminating decimal, such as 0.75, has a finite number of decimal places. A repeating decimal, such as 0.666…, has a block of one or more digits that repeat continuously

16. Example 12: Comparing and Ordering Fractions and Decimals Order the fractions and decimal from least to greatest. 3 7 __ __ , 0.8, 10 4

17. Example 13 Order the fractions and decimal from least to greatest. 3 __ 0.3, , 0.53 5