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

Steve has to mark 30 essays written by is students.

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

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Steve has to mark 30 essays written by is students.

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

2

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}.

3

Final Answer

20

Practice Quiz

Test your knowledge with interactive questions

Fill in the missing sign:

\( \frac{5}{9}☐\frac{3}{9} \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations