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# EC4.6-4.7 - 1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 i i i...

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Math 64 Name:____________________ Extra Credit Date:_____________________ Chapter 4.6&4.7 Score:____________________ Section 4.6-4.7 Page 1 of 2 1. The students in a math class can be organized into study groups of 8 each such that no students are left out. The same class of students can also be organized into groups of 6 such that no students are left out. a. Find some class sizes for which this will work. (Give atleast 2 examples) b. Find the smallest such class size that this will work. 2. A triathlete runs 7 8 mile, canoes 1 3 mile and swims 1 6 mile. How many miles does the triathlete cover? 3. Amber added 1 3 quart of two–cycle oil to a fuel mixture for her jet ski. She then noticed that the owner’s manual indicates 1 2 quart should have been added. How much more two-cycle oil should Amber add to the mixture? 4. Simplify the following, using fraction notation. Try to answer part e by recognizing a pattern in parts a through d. a. 1 1 2 i b. 1 1 1 2 2 3 + i i c. 1 1 1 1 2 2 3 3 4 + + i i i d. 1 1 1 1 1 2 2 3 3 4 4 5 + + + + i i i i e. 1 1

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Unformatted text preview: 1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 + + + + + + + + + + + + + + + + + + + + + + + + i i i i i i i i i Section 4.6-4.7 Page 2 of 2 5. Music: The time signature at the beginning of a piece of music looks like a fraction. Commonly used time signatures are 2 4 , 3 4 , 4 4 & 6 8 . Musicians use the time signature to tell how long to hold each note. The values of different notes can be written as fractions: Music is divided into measures. In 4 4 time, each measure contains notes that add up to 4 4 (or 1). In 2 4 time the notes add up to 2 4 (or 1 2 ) and so on for 3 4 and 6 8 time. Write one or more notes in each measure to make it add up to its time signature. Use as many different kinds of notes as possible. The first measure is done for you as an example. Ex. 1) 4 4 measure: => 1 1 1 1 4 4 4 4 4 4 = + + + = + + . Ex. 2) 3 4 measure: Ex. 3) 6 8 measure:...
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