Read the article The Coldest Concert! Be on the lookout for clues to help you answer each question.
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Part A:
Use this information to find the amount of ice needed to make different instruments. Write all
answers in simplest form. Use fractions, not decimals.
Question 1
1.
Trucks bring loads of ice to the festival. Each individual block is 61/2 feet long. Isungset needs a piece 31/3 feet long to make the base of his ice xylophone. How much of the ice block will be left over?
Question 2
2.
An ice carver has a block of ice that is 51/2 feet long. She needs a piece that is 41/6 feet long to make a music stand. How much of the ice block will be left over after carving a music stand?
Question 3
3.
Xylophone bars make different sounds depending on their size. The largest bar, which makes the lowest
note, is about 11/6 feet long. The next higher bar needs to be shorter by 1/4 foot. What should be the length of that bar?
Question 4
4.
An ice carver wants to decorate the stage with a sculpture. She starts with a block of ice that’s 41/4 feet long. She cuts off 12/5 feet. How long is the sculpture?
Question 5
5.
Isungset has a piece of ice that is 35/6 feet long. The body of a guitar is about 12/3 feet long. How much ice will be left after he makes 2 guitars?
Improper Fractions
When working with fractions, sometimes you may need to convert a mixed number to an improper
fraction and vice versa. An improper fraction is a fraction where the numerator is greater than or equal
to the denominator.
Part B: Convert the mixed numbers into improper fractions.
Question 6
6.
65/8
Question 7
7.
72/13
Mixed Numbers
When working with fractions, sometimes you may need to convert a mixed number to an improper
fraction and vice versa. A mixed number is a whole number and a fraction that represent one number.
Part C: Convert the improper fractions into mixed numbers.