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**a. The LCM of 4 and 5 is 20, so the LCD is 20.**

Example 1 Comparing Fractions 1 2 a. Compare and . 4 5 SOLUTION a. The LCM of 4 and 5 is 20, so the LCD is 20. 5 • 4 1 = 20 4 • 5 2 = 20 8 5 < 8, so < 20 8 5

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Example 1 Comparing Fractions 4 1 5 2 ANSWER < .

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**b. The LCM of 8 and 12 is 24, so the LCD is 24.**

Example 1 Comparing Fractions b. Compare and 8 3 12 5 – SOLUTION b. The LCM of 8 and 12 is 24, so the LCD is 24. 3 • 8 = 24 9 – – 2 • 12 5 = 24 10 9 > 10, so > 24 10 9 –

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Example 1 Comparing Fractions ANSWER > 8 3 – 12 5

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**What is the order of 2, , , and from least to greatest? – 1 8 5**

Example 2 Multiple Choice Practice 3 9 What is the order of 2, , , and from least to greatest? – 1 8 5 5 9 8 3 8 3 5 9 1 – , , , 2 , , , 1 – 2 3 9 3 9 – 1 , , , 2 , , , – 1 2 8 5 8 5 SOLUTION STEP 1 Find the least common denominator of the fractions. The LCM of 8 and 5 is 40, so the LCD is 40.

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**STEP 2 Use the least common denominator to write equivalent fractions.**

Example 2 Multiple Choice Practice STEP 2 Use the least common denominator to write equivalent fractions. 40 • 2 = 80 5 8 3 15 9 8 • 5 9 72 1 – = 40 = = 5 40 STEP 3 Compare the numerators: 15 < 40, 40 < 72, and 72 < 80. It follows that , , and 40 15 < 72 < 80

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**So, from least to greatest, the numbers are **

Example 2 Multiple Choice Practice So, from least to greatest, the numbers are and 2. This can be illustrated on a number line. 3 9 , , , 1 – 8 5 ANSWER The correct answer is D.

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**Copy and complete the statement with < or >.**

Guided Practice for Examples 1 and 2 Copy and complete the statement with < or >. 2 5 ? 1. ANSWER > 3 8 20 15 4 2 ? – 2. ANSWER > 4 2 ? 10 3 3. ANSWER < 18 11 16 9 ? – 4. ANSWER >

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Guided Practice for Examples 1 and 2 Order the numbers from least to greatest. Then graph the numbers on a number line. 31 52 5. 8 , , , and – 7 3 9 , , , 8 3 31 7 – 9 52 ANSWER

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Guided Practice for Examples 1 and 2 Order the numbers from least to greatest. Then graph the numbers on a number line. 6. 2 7 , , , 5 3 13 8 38 2 7 , , , 5 3 13 8 38 ANSWER

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