1. Pre-Algebra Lesson 5-1 Today, the school’s baseball and soccer teams had games. The baseball team plays every 7 days. The soccer team plays every 3 days. When will the teams have games on the same day again? 7, 14, 21, 28, 35, 42,...List the multiples of 7. 3, 6, 9, 12, 15, 18, 21,...List the multiples of 3. The LCM is 21. In 21 days both teams will have games again. Comparing and Ordering Rational Numbers Additional Examples

2. Pre-Algebra Lesson 5-1 Find the LCM of 16 and 36. = 144Multiply. 16 = 2 4 36 = 2 2 3 2 Write the prime factorizations. The LCM of 16 and 36 is 144. LCM = 2 4 3 2 Use the greatest power of each factor. Comparing and Ordering Rational Numbers Additional Examples

3. Pre-Algebra Lesson 5-1 Find the LCM of 5a 4 and 15a. 5a 4 = 5 a 4 15a = 3 5 aWrite the prime factorizations. = 15a 4 Multiply. The LCM of 5a 4 and 15a is 15a 4. LCM = 3 5 a 4 Use the greatest power of each factor. Comparing and Ordering Rational Numbers Additional Examples

4. Pre-Algebra Lesson 5-1 Graph and compare the fractions in each pair. is on the left, so <. 3838 3838 7878 b. – 1313, – 1616 is on the right, so >.– 1616 – 1616 – 1313 a. 7878 3838, 3838 7878 – 1313 – 1616 Comparing and Ordering Rational Numbers Additional Examples

5. Pre-Algebra Lesson 5-1 The softball team won of its games and the hockey team won of its games. Which team won the greater fraction of its games? 6767 7979 Step 1: Find the LCM of 7 and 9. 7 = 7 and 9 = 3 2 LCM = 7 3 2 = 63 Step 2: Write equivalent fractions with a denominator of 63. 6 9 7 9 7 9 7 = 54 63 49 63 = Step 3: Compare the fractions. 54 63 49 63 6767 7979 > >, so The softball team won the greater fraction of its games. Comparing and Ordering Rational Numbers Additional Examples

6. Pre-Algebra Lesson 5-1 Order,, and from least to greatest. 3737 1414 2323 3737 1414 2323 3 12 7 12 1 21 4 21 2 28 3 28 36 84 21 84 56 84 = = = = = = The LCM of 7, 4, and 3 is 84. Use 84 as the common denominator. 21 84 36 84 56 84 1414 3737 2323 <<, so<<. Comparing and Ordering Rational Numbers Additional Examples