1. Equivalent Fractions, Decimals and Fractions
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2. Vocabulary
Fractions that represent the same value are equivalent fractions. So are equivalent fractions.
1 2
2 4
4 8 = =

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

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

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

6. 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.

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

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

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

10. 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
1 4
1 2
3 4 __ 4 1 1 __ 2 1 __ 4 3 2 __ 4 1 2 __ 1

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

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

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

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

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

16. Common Fractions and Equivalent Decimals
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
0.8
0.75
0.6
0.5
0.4
0.3
0.25
0.2
Common Fractions and Equivalent Decimals 1 5 __ 1 4 __ 1 3 __ 2 5 __ 1 2 __ 3 5 __ 2 3 __ 3 4 __ 4 5 __

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

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