What is 2/3 of 75?

Understand the Problem

The question is asking to calculate two-thirds of 75. This involves multiplying 75 by the fraction 2/3 to find the result.

Answer

$50$
Answer for screen readers

The final answer is $50$.

Steps to Solve

  1. Set Up the Multiplication To find two-thirds of 75, we can set up the multiplication as follows: $$ \text{Two-thirds of 75} = \frac{2}{3} \times 75 $$

  2. Multiply the Fraction by the Whole Number Next, multiply 75 by the numerator of the fraction (which is 2): $$ 2 \times 75 = 150 $$

  3. Divide by the Denominator Now, divide the result by the denominator of the fraction (which is 3): $$ \frac{150}{3} = 50 $$

  4. Conclude the Calculation Finally, we conclude that two-thirds of 75 is equal to 50.

The final answer is $50$.

More Information

Calculating fractions of whole numbers is a common task in mathematics and is useful in everyday situations, such as dividing food or understanding parts of a whole.

Tips

Some common mistakes include:

  • Forgetting to multiply first before dividing.
  • Incorrectly simplifying the fraction. To avoid these mistakes, carefully follow the steps and check each calculation.

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