MATH Integrated Math I  - Unit 3: Fractions
Some of the questions in this unit may be answered by recording an audio file. If you chose to record the answer, click on the Add Recording button and follow the on-screen instructions closely. Once you have completed and attached the recording, enter the word “COMPLETE” in the text box. (Note: If your computer does not have a built-in microphone, a microphone or microphone/headset combination is needed to record audio.)

To enter fractions as keyboard entries, follow the examples shown below.

GCF

1) Use prime factorization to find the GCF of 12 and 20. Report the prime factorization for each number, and then the GCF.

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2) Find the GCF of 40 and 60 listing factors for each number in order from least to greatest. Report each list of factors, and then the GCF.

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3) Find the GCF for 36 and 54. (Hint: The GCF is a two-digit number.)

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4) Use the GCF to reduce the following fraction. Report the GCF, and then the reduced fraction.

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5) For her birthday party, Tausha is preparing bags of treats to share with her friends. She has 24 candy bars and 32 pieces of gum to put in the bags. Tausha wants to use all of the candy and gum. If each of the bags contains the same number of candy bars and pieces of gum, how many treat bags can Tausha make? How many candy bars and how many pieces of gum will be in each bag? Explain how to solve the problem.

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LCM

6) Find the LCM for 14 and 21. List the first five multiples of both numbers, and then the LCM.

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7) Use prime factorization to find the LCM for 15 and 35. Report the prime factorization for each number, the LCM expressed as a product of prime factors, and then the LCM.

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8) What is the LCM for 15 and 20?

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9) What is the LCM for 8 and 10?

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10) Eggs can be packaged 18 to a carton while English muffins are generally sold in packages of 8. How many of each would you buy to make egg muffin sandwiches (1 egg per muffin) so that you would use the same number of eggs and muffins with no extra eggs or muffins left over? Explain how to solve the problem.

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Addition of Fractions

11) What is the sum?

12) What is the sum? Simplify, if necessary.

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13) What is the sum? Simplify, if necessary.

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14) What is the sum? Simplify, if necessary.

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15) What is the sum? Simplify, if necessary.

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Subtraction of Fractions

16) What is the difference? Simplify, if necessary.

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17) What is the difference? Simplify, if necessary.

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18) What is the difference? Simplify, if necessary.

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19) What is the difference? Simplify, if necessary.

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Mixed Fractions and Improper Fractions

20) Change the mixed number into an improper fraction. State your answer.

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21) Change the improper fraction to a mixed number. State your answer in simplest form.

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Multiplication of Fractions

22) What is the product? Simplify, if necessary.

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23) What is the product? Simplify, if necessary.

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24) What is the product? Simplify, if necessary.

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25) What is the product? Simplify, if necessary.

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Reciprocals

26) What is the reciprocal of the given fraction?

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27) What is the reciprocal of the given fraction?

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Division of Fractions

28) What is the quotient? Simplify, if necessary.

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29) What is the quotient if 16 is divided by 2/3?

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30) What is the quotient? Simplify, if necessary.

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Applications

31) Compute. Simplify, if necessary.

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32) Solve. State the letter of the correct answer.

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33) Sue is making sugar cookies. Her recipe calls for 1 2/3 cups of sugar. If she makes 1/2 of the recipe, how much sugar will she need? State the letter of the correct answer.

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