zMath Intervention Math  - Unit 8: Fractions: Addition and Subtraction
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.)

In this unit, enter fraction answers using the notation shown below.

Rounding Fractions and Mixed Numbers

For the first three problems, round the given fraction to the nearest 1/2.

1) Round (3/4) to the nearest 1/2.

2) Round (7/16) to the nearest 1/2.

3) Round (7/8) to the nearest 1/2.

For the next three problems, round the given mixed number to the nearest whole number.

4) Round (26 3/14) to the nearest whole number.

5) Round (18 5/7) to the nearest whole number.

6) Round (23 9/20) to the nearest whole number.

Addition of Fractions

For the next ten problems, find the sum and express each answer in simplified (reduced) form.

7) What is the sum?

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8) What is the sum?

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9) What is the sum?

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10) What is the sum?

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11) What is the sum?

12) What is the sum?

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13) What is the sum?

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14) What is the sum?

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15) What is the sum?

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16) What is the sum?

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17) Estimating the sum of mixed numbers is helpful to check the answer to see if it is reasonable. Explain how to use rounding to the nearest whole number to estimate the sum in the previous problem.

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Subtraction of Fractions

For the next ten problems, find the difference and express each answer in simplified (reduced) form.

18) What is the difference?

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19) What is the difference?

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20) What is the difference?

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21) What is the difference?

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22) What is the difference?

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23) What is the difference?

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24) What is the difference?

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25) What is the difference?

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26) What is the difference?

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27) Estimate and calculate the difference.

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28) What is the difference?

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29)

Estimating the difference of mixed numbers is helpful to check the answer to see if it is reasonable. Explain how to use rounding to the nearest whole number to estimate the difference in the previous problem.


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Problem Solving: Making a Drawing

30) Make a drawing to solve the following problem: Autumn pieced together the center of a baby quilt that measures 30 1/2 inches by 44 1/2 inches. The next step is to add a border along the two longer sides of the quilt. How much fabric will she need to make the two borders?

31)

Make a drawing to solve the following problem: Brad left his apartment and walked 8 blocks east, then 6 blocks north, then 5 blocks west. How many more blocks and in what direction would Brad need to walk to be due north of his dorm?


Stocks

For the last two problems, refer to the stock table below. The table displays the summary of the day’s transactions of selected stocks.

32) If Anna purchased 300 shares of AAPL when it was at its lowest price and sold all of her shares of Apple Computer right before closing at the end of the day, how much profit did she make? Please explain the solution to the problem.

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33) Donald purchased 500 shares of ALL when it was priced at his highest. The stock dropped in value all day. Donald decided to sell the stock and take his losses. If he sold the Allstate stock at its lowest value in the day, what was his loss for the 500 shares? Please explain the solution to the problem.

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