Lesson 4

What Fraction of a Group?

Problem 1

A recipe calls for \frac12 lb of flour for 1 batch. How many batches can be made with each of these amounts?

  1. 1 lb
  2. \frac34 lb
  3. \frac14 lb

Solution

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Problem 2

Whiskers the cat weighs 2\frac23 kg. Piglio weighs 4 kg. For each question, write a multiplication equation and a division equation, decide whether the answer is greater than 1 or less than 1, and then find the answer.

  1. How many times as heavy as Piglio is Whiskers?
  2. How many times as heavy as Whiskers is Piglio?

Solution

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Problem 3

Andre is walking from his home to a festival that is 1\frac58 kilometers away. He walks \frac13 kilometer and then takes a quick rest. Which question can be represented by the equation {?} \boldcdot 1\frac58 = \frac13 in this situation?

A:

What fraction of the trip has Andre completed?

B:

What fraction of the trip is left?

C:

How many more kilometers does Andre have to walk to get to the festival?

D:

How many kilometers is it from home to the festival and back home?

Solution

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Problem 4

Draw a tape diagram to represent the question: What fraction of 2\frac12 is \frac45?
Then find the answer.

Solution

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Problem 5

How many groups of \frac34 are in each of these quantities?

  1. \frac{11}{4}
  2. 6\frac12

Solution

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(From Unit 3, Lesson 3.)

Problem 6

Which question can be represented by the equation 4\div \frac27 = {?}

A:

What is 4 groups of \frac 27?

B:

How many \frac27s are in 4?

C:

What is \frac 27 of 4?

D:

How many 4s are in \frac27?

Solution

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(From Unit 3, Lesson 3.)