Question

What number is 66 2/3% of 495? Show work

Answer 1

Answer:

330

Step-by-step explanation:

So to find x% of a, it can generally be expressed as: $\frac{x}{100}*a$ where x=percentage, and a=value. All you're doing in this equation is converting the percentage into its decimal form and then multiplying it by a to find what x% is of a. So I'm assuming 66 2/3 represents 66.6666... and not 66 * 2/3. So to make this a bit easier, we can just represent this value as one fraction, by multiplying 66 by 3 and adding that to the 2, to get: $\frac{200}{3}$

Now let's plug the values into the equation:

$\frac{\frac{200}{3}}{100} * 495$

To divide the fractions, simply keep, change, flip.

$\frac{200}{3}*\frac{1}{100}*459$

Multiply

$\frac{200}{300}*495$

Simplify the fraction:

$\frac{2}{3}*495$

Multiply

$\frac{990}{3}$

Divide:

$330$

Answer 2

Answer: 330.

Step-by-step explanation:

$\displaystyle\\\frac{66\frac{2}{3}\%*495 }{y100\%}=\\\\ \frac{\frac{200}{3}\%*495 }{100\%} =\\\\\frac{200\%*495}{3*100\%}=\\\\ \frac{2*495}{3} =\\\\\frac{990}{3} =\\\\330.$