Question

Lisa ha 2/3 of a pan of lasagna left over. Her family eats 1/2 of the leftovers. Using the following model, determine the fraction of the whole lasagna that Lisa's family eats. 2 out of 3 squares are shaded on the left and 2 out of three squares are shaded on the right

Answer 1

To determine the fraction of the whole lasagna that Lisa's family eats, we start with the leftovers and the amount eaten by her family.

1. **Understanding the leftovers**:
Lisa has \( \frac{2}{3} \) of a pan of lasagna left.

2. **Calculating what the family eats**:
Her family eats \( \frac{1}{2} \) of the leftovers. So, we need to calculate \( \frac{1}{2} \) of \( \frac{2}{3} \):

\[
\text{Amount eaten by family} = \frac{1}{2} \times \frac{2}{3}
\]

To multiply these fractions, we multiply the numerators and the denominators:

\[
= \frac{1 \times 2}{2 \times 3} = \frac{2}{6}
\]

We can simplify \( \frac{2}{6} \):

\[
= \frac{1}{3}
\]

3. **Fraction of the whole lasagna eaten by the family**:
The family eats \( \frac{1}{3} \) of the whole lasagna.

To summarize, Lisa's family eats \( \frac{1}{3} \) of the whole lasagna.