1. Which is greater, or ? Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 5959 6 11 Rewrite each fraction with the denominator 9 11 = 99. Multiply the numerator and denominator by 11. 5959 5 11 9 11 = Multiply. = 55 99 Multiply the numerator and denominator by 9. 6 11 6 9 11 9 = Multiply. 54 99 =Since 55 99 54 99 >, > 5959 6 11. 4-3

2. Which is greater, or ? Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 7 18 5 12 Since the LCM of 18 and 12 is 36, the LCD of the fractions is 36. Multiples of 18: 18, 36 Multiples of 12: 12, 24, 36 List multiples of each denominator to find their LCD. Multiply the numerator and denominator by 2. 7 18 7 2 18 2 = Simplify. 14 36 = 4-3

3. (continued) Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 Multiply the numerator and denominator by 3. 5 12 5 3 12 3 = Simplify. 15 36 =Since 15 36 14 36 >, > 7 18. 5 12 4-3

4. The Eagles won 7 out of 11 games while the Seals won 8 out of 12 games. Which team has the better record? Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 Change each fraction to a decimal. Compare the two decimals. Since 0.666 > 0.636, the Seals have the better record. Divide. Use a calculator. Eagles: 7 11 0.636363 Seals: 8 12 0.666667 4-3

5. Order –0.175,, –, 1.7, –0.95 from least to greatest. Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 2323 5858 Then graph each decimal on a number line. The order of the points from left to right gives the order of the numbers from least to greatest. –0.95 <–0.625 < –0.175 < 0.667 < 1.7 So, –0.95 <–< –0.175 << 1.7. 2323 5858 4-3 Write each fraction as a decimal. 2323 0.667 5858 = –0.625 –

6. Comparing and Ordering Rational Numbers Compare. Use, or =. 1. 2. 3. 4. 0.35 5.Order 0.17,, –0.3, 0, and – from least to greatest. < > COURSE 3 LESSON 4-3 == –0.3, –, 0, 0.17, 1414 1515 5 12 8 15 4545 8 11 15 50 36 120 7 20 1515 1414 4-3