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HOW TO FIND LCM( FRACTIONS AND DECIMALS), FULL CONCEPT 1 месяц назад


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HOW TO FIND LCM( FRACTIONS AND DECIMALS), FULL CONCEPT

Please solve the following questions for practice,speed and perfection. 1. Synchronized Alarms Two alarm clocks ring at intervals of 45 minutes and 75 minutes respectively. If they ring together at 9:00 AM, when will they next ring together? 2. Marching Bands Two marching bands have 60 and 72 members respectively. They want to march in rows with the same number of people in each row. What is the greatest number of people that can be in each row? 3. Meeting Point Three friends go jogging on a circular track. They complete one lap in 12 minutes, 15 minutes, and 18 minutes respectively. If they start together, after how many minutes will they meet again at the starting point? 4.Delivery Schedule A milkman delivers milk every 3 days, a newspaper boy delivers newspapers every 4 days, and a garbage collector collects garbage every 6 days. If all three visit a house on the same day, after how many days will they again visit the house on the same day? 5. Tile Patterns Square tiles of side 15 cm and 20 cm are to be used to cover a rectangular floor. What is the least possible side length of the floor so that it can be covered completely without cutting any tiles? 6. Bus Timings Buses from two different routes leave a bus station at intervals of 20 minutes and 30 minutes respectively. If they both leave the station together at 8:00 AM, at what time will they next leave together? 7. Ribbon Cutting Two ribbons of lengths 48 cm and 60 cm are to be cut into pieces of equal length. What is the greatest possible length of each piece so that no ribbon is left over? 8. School Bells The first bell in a school rings every 30 minutes and the second bell rings every 45 minutes. If both bells ring together at 8:00 AM, when will they next ring together? 9. Gear Ratios Two gears have 36 and 48 teeth respectively. If the smaller gear rotates 3 times, how many times will the larger gear rotate? 10. Festival Decorations Strings of lights are to be hung around a rectangular park with sides of 120 meters and 150 meters. What is the greatest possible length of each string of lights so that they fit perfectly around the park without any gaps or overlaps? SOME TIPS MAY BE HELPFUL: The LCM is the smallest number that is a multiple of all the given numbers. You'll need to understand the concept of factors and multiples to solve these problems. Let me know if you would like assistance in solving any of these or want more practice problems in comment.

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