What is 2/3 of 180?

Understand the Problem

The question is asking us to find two-thirds of the number 180, which involves multiplying 180 by the fraction 2/3.

Answer

$120$

Steps to Solve

Identify the fraction to multiply by

We need to calculate two-thirds of 180, which can be represented as the fraction $\frac{2}{3}$.

Set up the multiplication

To find two-thirds of 180, we set up the equation:

$$ \frac{2}{3} \times 180 $$

Multiply the whole number by the numerator

First, we multiply 180 by 2:

$$ 180 \times 2 = 360 $$

Divide by the denominator

Now we divide the result by 3:

$$ \frac{360}{3} = 120 $$

The answer is $120$.

More Information

Finding a fraction of a number is a common task in math, which involves both multiplication and division. Two-thirds of 180 giving us 120 means that if you divide 180 into 3 equal parts, 2 of those parts combined equal 120.

Tips

Forgetting to divide: A common mistake is only multiplying by the numerator and forgetting to perform the division by the denominator.
Miscalculating multiplication or division: Double-check calculations to avoid simple arithmetic mistakes.

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