https://file.aiquickdraw.com/mathbot/file/1727677340988o53v05eo.jpg

Let's break down the problem step by step based on the given information and image.

### Information:
1. **Mary's Pizza:**
   - Divided into 9 equal slices.
   - Mary ate 2 slices.

2. **Lisa's Pizza:**
   - Divided into 6 equal slices.
   - Lisa ate 3 slices.

### Step 1: Who ate more pizza and by how much?

We need to compare how much pizza each of them ate by converting their portions into fractions.

- Mary ate \( \frac{2}{9} \) of her pizza.
- Lisa ate \( \frac{3}{6} \) of her pizza, which simplifies to \( \frac{1}{2} \).

To compare these fractions, we need a common denominator. The least common denominator (LCD) between 9 and 2 is 18. Let's convert the fractions:

- \( \frac{2}{9} = \frac{4}{18} \)
- \( \frac{1}{2} = \frac{9}{18} \)

Now, we can see that:
- Lisa ate \( \frac{9}{18} \) of her pizza.
- Mary ate \( \frac{4}{18} \) of her pizza.

**Lisa ate more pizza**, and the difference is:
\[
\frac{9}{18} - \frac{4}{18} = \frac{5}{18}
\]

So, **Lisa ate \( \frac{5}{18} \) more pizza than Mary**.

### Step 2: Write three equivalent fractions for the difference.

We already have \( \frac{5}{18} \). Some equivalent fractions are found by multiplying both the numerator and denominator by the same number. Here are three equivalent fractions:

1. \( \frac{5}{18} \times \frac{2}{2} = \frac{10}{36} \)
2. \( \frac{5}{18} \times \frac{3}{3} = \frac{15}{54} \)
3. \( \frac{5}{18} \times \frac{4}{4} = \frac{20}{72} \)

### Step 3: How much pizza is left with Mary and Lisa together?

- Mary ate \( \frac{2}{9} \) of her pizza, so the remaining pizza with Mary is \( 1 - \frac{2}{9} = \frac{7}{9} \).
- Lisa ate \( \frac{1}{2} \) of her pizza, so the remaining pizza with Lisa is \( 1 - \frac{1}{2} = \frac{1}{2} \).

Now, let's add the remaining pizzas together:
\[
\frac{7}{9} + \frac{1}{2}
\]
We need a common denominator, which is 18:
\[
\frac{7}{9} = \frac{14}{18}, \quad \frac{1}{2} = \frac{9}{18}
\]
Now, add the fractions:
\[
\frac{14}{18} + \frac{9}{18} = \frac{23}{18}
\]
This is an improper fraction. Converting to a mixed number:
\[
\frac{23}{18} = 1 \frac{5}{18}
\]
So, together, Mary and Lisa have **1 full pizza and \( \frac{5}{18} \) of another pizza** remaining.

---

Would you like more details or have any questions? Here are five related questions to deepen your understanding:

1. How can we compare fractions without finding a common denominator?
2. What are other methods to simplify fractions quickly?
3. What happens if both pizzas had different sizes, not just different slices?
4. Can you explain how to convert an improper fraction to a mixed number in detail?
5. How do you add fractions with unlike denominators efficiently?

**Tip:** When comparing fractions, always look for the least common denominator to make the calculation simpler.

Mary had a pizza that was divided into 9 equal slices. She ate two of them. Lisa had a pizza of the same size, but her pizza is divided into 6 equal parts. Lisa ate 3 pieces of her pizza.

Solve a word problem involving fractions where Mary and Lisa eat different amounts of pizza. Compare their slices, find the difference, and calculate the amount of pizza left. Learn about fractions, equivalent fractions, and adding fractions with different denominators. Perfect for students in Grades 5-7.

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