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
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Identify the fraction to multiply with The problem asks for two-thirds of 1200. We represent two-thirds as the fraction $\frac{2}{3}$.
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Set up the multiplication To find two-thirds of 1200, we multiply 1200 by the fraction $\frac{2}{3}$.
$$ \text{Result} = 1200 \times \frac{2}{3} $$
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Perform the multiplication We can simplify the multiplication by first dividing 1200 by 3.
$$ 1200 \div 3 = 400 $$
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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.
