Problem Analysis:
Fernando opened a pizza box and found that there was \(\frac{3}{4}\) of a pizza remaining. He then ate \(\frac{1}{2}\) of what was left. We need to determine how much of the pizza Fernando ate.
Step-by-Step Solution:
1.
Identify the remaining pizza:
- Initially, there is \(\frac{3}{4}\) of the pizza left in the box.
2.
Determine how much Fernando ate:
- Fernando ate \(\frac{1}{2}\) of the remaining \(\frac{3}{4}\) of the pizza.
- To find this, we multiply \(\frac{1}{2}\) by \(\frac{3}{4}\):
\[
\frac{1}{2} \times \frac{3}{4}
\]
3.
Perform the multiplication:
- When multiplying fractions, multiply the numerators together and the denominators together:
\[
\frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}
\]
4.
Interpret the result:
- Fernando ate \(\frac{3}{8}\) of the entire pizza.
Verification Using the Diagram:
- The diagram shows a circle divided into 8 equal parts (eighths).
- Since Fernando ate \(\frac{3}{8}\) of the pizza, he consumed 3 out of the 8 slices.
Final Answer:
\[
\boxed{\frac{3}{8}}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions word problems.
