kylie finds 1/3
of her birthday cake in the fridge. If she eats 2/3
of this amount, what
fraction of the whole cake will be left?

To determine how much of the whole cake is left after Kylie eats part of it, let's break down the problem step by step:

1. **Initial Amount Found:**
   - Kylie finds \(\frac{1}{3}\) of her birthday cake in the fridge.

2. **Amount Eaten:**
   - She eats \(\frac{2}{3}\) of the \(\frac{1}{3}\) of the cake she found.
   - The amount she eats is calculated by multiplying these fractions:
     \[
     \frac{2}{3} \times \frac{1}{3} = \frac{2 \times 1}{3 \times 3} = \frac{2}{9}
     \]

3. **Fraction of Cake Eaten:**
   - Kylie eats \(\frac{2}{9}\) of the whole cake.

4. **Fraction of Cake Left:**
   - The total fraction of the cake found in the fridge was \(\frac{1}{3}\), and from this, she ate \(\frac{2}{9}\).
   - To find the remaining fraction of the cake, we subtract the eaten portion from the initial portion found:
     \[
     \frac{1}{3} - \frac{2}{9}
     \]
   - To subtract these fractions, we need a common denominator, which is 9:
     \[
     \frac{1}{3} = \frac{3}{9}
     \]
     \[
     \frac{3}{9} - \frac{2}{9} = \frac{1}{9}
     \]

So, Kylie leaves \(\frac{1}{9}\) of the whole cake in the fridge. 

**Summary:** After Kylie eats \(\frac{2}{3}\) of the \(\frac{1}{3}\) she found, \(\frac{1}{9}\) of the whole cake is left.

Do you want more details or have any questions?

Here are some related questions:

1. What fraction of the whole cake did Kylie originally find in the fridge?
2. If the whole cake is cut into 9 equal pieces, how many pieces did Kylie eat?
3. What fraction of the whole cake did Kylie not eat?
4. If Kylie decided to eat only half of the \(\frac{1}{3}\) cake she found, what fraction of the whole cake would be left?
5. How would the fraction left change if the cake was divided into 12 equal pieces instead of 9?
6. If another person ate \(\frac{1}{4}\) of the original cake, what fraction of the cake would be left now?
7. How much of the cake would be left if Kylie ate \(\frac{3}{4}\) of the \(\frac{1}{3}\) she found instead?
8. If the original cake weighed 900 grams, how many grams did Kylie eat?

**Tip:** When dealing with fractions, always ensure to convert them to a common denominator before performing addition or subtraction.

Learn how to calculate the fraction of Kylie's birthday cake left after she eats part of it. Understand fractions and subtraction of fractions with a detailed step-by-step solution. Suitable for students in Grades 4-6.

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