Calculate 2/3 of 30: Teacher's Essay Marking Problem

Question

Steve has to mark 30 essays written by is students.

When he finishes marking 23 \frac{2}{3} essays, how many has he marked?

Step-by-Step Solution

To determine how many essays Steve has marked when he finishes 23\frac{2}{3} of the total, we perform the following calculation:

  • Step 1: Identify the total number of essays, which is 30.
  • Step 2: Determine the fraction of essays that are marked, 23\frac{2}{3}.
  • Step 3: Multiply the total essays by the fraction marked:

23×30=2×303=603=20\frac{2}{3} \times 30 = \frac{2 \times 30}{3} = \frac{60}{3} = 20

Therefore, Steve has marked 20 essays.

Thus, the correct number of essays Steve has marked is 20\boxed{20}.

Answer

20