Question

What number is 66 2/3% of 495?

Show work

Answer 1

Answer: 330.

Explanation:

`\displaystyle\\(66(2)/(3)\%*495 )/(y100\%)=\\\\ ((200)/(3)\%*495 )/(100\%) =\\\\(200\%*495)/(3*100\%)=\\\\ (2*495)/(3) =\\\\(990)/(3) =\\\\330.`

Answer 2

330

Explanation:

So to find x% of a, it can generally be expressed as:
`(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:
`(200)/(3)`

Now let's plug the values into the equation:

`((200)/(3))/(100) * 495`

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

`(200)/(3)*(1)/(100)*459`

Multiply

`(200)/(300)*495`

Simplify the fraction:

`(2)/(3)*495`

Multiply

`(990)/(3)`

Divide:

`330`