Equivalent Fractions And Lcm Worksheet With Answers printable pdf download

Equivalent Fractions And Lcm Worksheet With Answers

Unit 4 – Number Patterns and Fractions

Lesson 3 – Equivalent Fractions and LCM

Black – Equivalent Fractions and LCM

1. When the least common multiple of 8 and 20 is multiplied by the greatest common

factor of 8 and 20, what is the result?

2. The sum of three consecutive integers is a multiple of 89 and is a value between 600

and 900. What is the sum of the three integers?

3. How many positive integers less than or equal to 50 are multiples of 3 or 4, but not

4. The house numbers in a housing development are the multiples of four starting at 4

and ending at 120. If metal digits cost 50 cents each, what is the total cost of all of

the metal digits that are needed to number the houses in this development?

5. Explain the following statement: When rewriting fractions with a common

denominator, the common denominator can be any common multiple of the two original

denominators, however, using the least common multiple is the most convenient

choice.

6. Multiple Days. For how many days during the year is the day a multiple of the

month?

7. What is the least positive multiple of 72 that has exactly 16 positive factors?

8. Count Off. At a school, the children lined up in a long row and counted off. A hat was

given to the sixteenth child in line and every sixteenth child after that. A

noisemaker was given to the twenty-fourth child and to every twenty-fourth child

after that. What were the positions in line of the first three children who received

both a hat and a noisemaker?

9. Explain why the least common multiple of any two numbers is divisible by the

greatest common factor of the numbers.

10. Unusual Age. My age is a multiple of 7. Next year, it will be a multiple of 5. When will

this event occur again?

11. In Their Prime

Jonathan is two years younger than his wife Hazel. Their current ages are both

prime numbers. Next year Hazel's age will be a multiple of 11, and Jonathan's age will

be the product of two consecutive numbers.

How old are Jonathan and Hazel now?

Remember to explain how you got your answer and show how you know you are right.

Extra: Two prime numbers that differ by two (like Jonathan and Hazel's current

ages) are called twin primes. They are always separated by a single even number.

Find all the twin primes less than 100. Starting with the twin primes 5 and 7, what is

the greatest common factor that those single even numbers all share?

Explain how you found your answers.

Equivalent Fractions And Lcm Worksheet With Answers