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
$120$
Answer for screen readers
The answer is $120$.
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.