Grade 5 Data and Graphing Worksheets | Worsheets library - Free Printable

Let's solve the problem step by step using the circle graph (pie chart) provided in the image.

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Circle Graph Breakdown:

The pie chart shows the fractions of different types of cakes sold at a bake sale:

- Carrot cake: $ \frac{1}{10} $
- Banana cake: $ \frac{1}{20} $
- Cheesecake: $ \frac{1}{5} $
- Chocolate cake: $ \frac{1}{4} $
- Strawberry cake: $ \frac{2}{5} $

We’ll use these fractions to answer the questions.

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Question 1: What fraction of the total are strawberry cakes?

From the graph:
> Strawberry cake = $ \frac{2}{5} $

✔ Answer: $ \boxed{\frac{2}{5}} $

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Question 2: Which cake sold half as much as carrot cakes?

Carrot cake = $ \frac{1}{10} $

Half of that = $ \frac{1}{2} \times \frac{1}{10} = \frac{1}{20} $

Look for a cake with fraction $ \frac{1}{20} $ → That’s banana cake.

✔ Answer: $ \boxed{\text{Banana cake}} $

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Question 3: Which cake is one-fifth of the total?

One-fifth = $ \frac{1}{5} $

That matches cheesecake.

✔ Answer: $ \boxed{\text{Cheesecake}} $

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Question 4: What cake is the best seller?

Compare all fractions:

- Carrot: $ \frac{1}{10} = 0.1 $
- Banana: $ \frac{1}{20} = 0.05 $
- Cheesecake: $ \frac{1}{5} = 0.2 $
- Chocolate: $ \frac{1}{4} = 0.25 $
- Strawberry: $ \frac{2}{5} = 0.4 $

Largest fraction = $ \frac{2}{5} $ → Strawberry cake

✔ Answer: $ \boxed{\text{Strawberry cake}} $

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Question 5: What fraction of the total are strawberry and carrot cake combined?

Strawberry: $ \frac{2}{5} $
Carrot: $ \frac{1}{10} $

Find common denominator: 10

$ \frac{2}{5} = \frac{4}{10} $

So:
$ \frac{4}{10} + \frac{1}{10} = \frac{5}{10} = \frac{1}{2} $

✔ Answer: $ \boxed{\frac{1}{2}} $

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Question 6: What fraction of the total are cheesecake, strawberry, and chocolate cake combined?

Cheesecake: $ \frac{1}{5} $
Strawberry: $ \frac{2}{5} $
Chocolate: $ \frac{1}{4} $

Convert to common denominator (LCM of 5 and 4 is 20):

- $ \frac{1}{5} = \frac{4}{20} $
- $ \frac{2}{5} = \frac{8}{20} $
- $ \frac{1}{4} = \frac{5}{20} $

Add:
$ \frac{4}{20} + \frac{8}{20} + \frac{5}{20} = \frac{17}{20} $

✔ Answer: $ \boxed{\frac{17}{20}} $

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✔ Final Answers:

1. $ \frac{2}{5} $
2. Banana cake
3. Cheesecake
4. Strawberry cake
5. $ \frac{1}{2} $
6. $ \frac{17}{20} $

Let me know if you'd like this explained visually or with a diagram!