The Coldest Concert

The Coldest Concert!

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.

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?

1

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?

1

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?

1

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?

1

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. 

1

65/8

1

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.

1

A mixed number is

1

16/3

3

The Coldest Concert!

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?

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?

Xylophone bars make different sounds depending on their size. The largest bar, which makes the lowestnote, 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?

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?

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

65/8

72/13

Mixed Numbers

A mixed number is

16/3

35/6

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?