Presentation on theme: "Writing Improper Fractions"— Presentation transcript:
1Writing Improper Fractions EXAMPLE 1EXAMPLE 3Using Prime Factorization to Find the LCMWriting Improper FractionsFind the LCM of 84 and 360 using prime factorization.STEP 1 Begin by writing the prime factorization of each number.84 =360 =
2Writing Improper Fractions EXAMPLE 1EXAMPLE 3Using Prime Factorization to Find the LCMWriting Improper FractionsSTEP 2 Circle the common factors. Then multiply the common factors (one for each pair) and all the uncircled factors.==The least common multiple of 84 and 360 is 2520.ANSWER
3Writing Improper Fractions EXAMPLE 1EXAMPLE 4Using the Least Common MultipleWriting Improper FractionsTour Bus Schedules Three tour buses leave the visitor’s center at 9:00 A.M. Bus A returns to the visitor’s center every 60 minutes, Bus B returns every 40 minutes, and Bus C returns every 75 minutes. What is the next time the buses will all return to the visitor’s center at the same time?
4Writing Improper Fractions EXAMPLE 4EXAMPLE 1Using the Least Common MultipleWriting Improper FractionsSOLUTIONFind the least common multiple of 60, 40, and 75.60 ===The least common multiple is=The buses all return at the same time in 600 minutes, or 10 hours, after 9:00 A.M., which is 7:00 P.M.ANSWER
5Find the LCM of the numbers using prime factorization. EXAGUIDED PRACTICEfor Examples 3 and 4Find the LCM of the numbers using prime factorization.9.36, 72ANSWER7210.24, 30ANSWER12011.54, 126ANSWER37812.20, 22, 55ANSWER220
6EXAGUIDED PRACTICEfor Examples 3 and 4In Example 4, suppose Bus A returns every 30 minutes, Bus B returns every 20 minutes, and Bus C returns every 45 minutes. What is the next time the buses will all return at the same time to the visitor’s center?What If?13.ANSWER12 noon