Zoe wrote Three-fifths of her essay in 30 minutes. Assuming she wrote the paper at a constant rate the entire time, which expression can be used to determine the fraction of her essay she wrote each minute?

30 divided by three-fifths
30 times three-fifths
Three-fifths divided by 30
Five-thirds divided by 30

1 answer

To determine the fraction of her essay that Zoe wrote each minute, we need to find out how much of the essay she wrote in one minute, given that she wrote three-fifths of the essay in 30 minutes.

To find the fraction she wrote each minute, we divide the total fraction she wrote (three-fifths) by the time it took (30 minutes).

This can be expressed as:

\[ \text{Fraction written per minute} = \frac{3/5}{30} \]

This is equivalent to:

\[ \frac{3/5}{30} = \frac{3}{5} \times \frac{1}{30} = \frac{3}{150} = \frac{1}{50} \]

Thus, the correct expression that can be used to determine the fraction of her essay she wrote each minute is:

Three-fifths divided by 30.