Question

correct? explain.

1. higher order thinking five friends equally shared half of one large pizza and $\frac{1}{4}$ of another large pizza. what fraction of each pizza did each friend get? how do the two amounts compare to each other?
2. one half of an apple pie is left for 5 family members to share equally. what fraction of the original pie will each member get?

a $\frac{1}{10}$

Explanation:

For Question 19:

Step1: Split first pizza share

Each friend gets $\frac{1}{2}$ divided by 5.
$\frac{1}{2} \div 5 = \frac{1}{2} \times \frac{1}{5} = \frac{1}{10}$

Step2: Split second pizza share

Each friend gets $\frac{1}{4}$ divided by 5.
$\frac{1}{4} \div 5 = \frac{1}{4} \times \frac{1}{5} = \frac{1}{20}$

Step3: Compare the two fractions

Compare $\frac{1}{10}$ and $\frac{1}{20}$.
$\frac{1}{10} = \frac{2}{20}$, so $\frac{1}{10} > \frac{1}{20}$

Step1: Calculate each member's share

Divide the leftover $\frac{1}{2}$ by 5 family members.
$\frac{1}{2} \div 5 = \frac{1}{2} \times \frac{1}{5} = \frac{1}{10}$

Answer:

• Each friend got $\frac{1}{10}$ of the first pizza and $\frac{1}{20}$ of the second pizza.
• The amount each friend got from the first pizza is twice the amount they got from the second pizza (or $\frac{1}{10}$ is larger than $\frac{1}{20}$).

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For Question 21: