Question

A total of 2/3
pound of ground beef is separated onto 3 plates. The same amount of beef is on each plate. How many pounds of ground beef is on each plate? Express your answer as a fraction in simplified form.(1 point)

Answer 1

To find out how many pounds of ground beef is on each plate, we can divide the total amount of ground beef by the number of plates.

We have:

\[
\text{Total ground beef} = \frac{2}{3} \text{ pound}
\]
\[
\text{Number of plates} = 3
\]

Now, we divide \(\frac{2}{3}\) by \(3\):

\[
\text{Amount on each plate} = \frac{2}{3} \div 3
\]

Dividing by a whole number is the same as multiplying by the reciprocal of that number. The reciprocal of \(3\) is \(\frac{1}{3}\), so we can rewrite the division as:

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

Now, we multiply the fractions:

\[
\frac{2 \times 1}{3 \times 3} = \frac{2}{9}
\]

Thus, the amount of ground beef on each plate is:

\[
\boxed{\frac{2}{9}} \text{ pounds}
\]