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What is 2/3 of 1200?

Understand the Problem

The question is asking to find two-thirds of 1200. To solve this, we need to multiply 1200 by 2/3.

Answer

$800$
Answer for screen readers

The final answer is $800$.

Steps to Solve

  1. Identify the fraction to multiply with The problem asks for two-thirds of 1200. We represent two-thirds as the fraction $\frac{2}{3}$.

  2. Set up the multiplication To find two-thirds of 1200, we multiply 1200 by the fraction $\frac{2}{3}$.

    $$ \text{Result} = 1200 \times \frac{2}{3} $$

  3. Perform the multiplication We can simplify the multiplication by first dividing 1200 by 3.

    $$ 1200 \div 3 = 400 $$

  4. Multiply by the numerator Now, we multiply the result by 2.

    $$ 400 \times 2 = 800 $$

The final answer is $800$.

More Information

Finding a fraction of a number is a common arithmetic operation. Knowing how to work with fractions and perform multiplication can help in various real-world situations such as budgeting, sharing resources, or adjusting recipes.

Tips

  • Incorrect division: A common mistake is to multiply 1200 by 2 before dividing by 3. Always divide first when working with fractions.
  • Misunderstanding fractions: Ensure that you interpret the fraction correctly, in this case, $\frac{2}{3}$ means two parts out of three equal parts.
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