Explanation:
We are given a pie chart showing the fractions of different cakes sold at a bake sale. The fractions are:
- Carrot cake: $ \frac{1}{10} $
- Banana cake: $ \frac{1}{20} $
- Cheesecake: $ \frac{1}{5} $
- Chocolate cake: $ \frac{1}{4} $
- Strawberry cake: $ \frac{2}{5} $
Let’s answer each question one by one.
---
1. What fraction of the total are strawberry cakes?
From the chart: strawberry cake = $ \frac{2}{5} $.
✔ Answer: $ \frac{2}{5} $
---
2. Which cake sold half as much as carrot cakes?
Carrot cake = $ \frac{1}{10} $.
Half of that is:
$ \frac{1}{2} \times \frac{1}{10} = \frac{1}{20} $.
Which cake is $ \frac{1}{20} $? → Banana cake.
✔ Answer: Banana cake
---
3. Which cake is one-fifth of the total?
One-fifth = $ \frac{1}{5} $.
From the chart, cheesecake = $ \frac{1}{5} $.
✔ Answer: Cheesecake
---
4. Which 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 is $ \frac{2}{5} $ → Strawberry cake.
✔ Answer: Strawberry cake
---
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: $ \frac{1}{2} $
---
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} $
First add the two fifths:
$ \frac{1}{5} + \frac{2}{5} = \frac{3}{5} $
Now add $ \frac{1}{4} $:
Common denominator of 5 and 4 is 20.
$ \frac{3}{5} = \frac{12}{20} $, $ \frac{1}{4} = \frac{5}{20} $
So total = $ \frac{12}{20} + \frac{5}{20} = \frac{17}{20} $
✔ Answer: $ \frac{17}{20} $
Let me double-check all answers quickly:
1. $ \frac{2}{5} $ ✔
2. Banana cake ($ \frac{1}{20} $) is half of $ \frac{1}{10} $ ✔
3. Cheesecake = $ \frac{1}{5} $ ✔
4. Strawberry = 0.4 > others ✔
5. $ \frac{2}{5} + \frac{1}{10} = \frac{4+1}{10} = \frac{5}{10} = \frac{1}{2} $ ✔
6. $ \frac{1}{5} + \frac{2}{5} + \frac{1}{4} = \frac{3}{5} + \frac{1}{4} = \frac{12+5}{20} = \frac{17}{20} $ ✔
All correct.
Final Answer:
1. $ \frac{2}{5} $
2. Banana cake
3. Cheesecake
4. Strawberry cake
5. $ \frac{1}{2} $
6. $ \frac{17}{20} $
Parent Tip: Review the logic above to help your child master the concept of fifth grade graph worksheet.
