Question

What is `2 2/3%` of 60?

Answer 1

The answer is `1.6`.

Explanation:

This type of question can be translated from English to Math very easily. Each word/number has a direct equivalent in Math:

• "What" is your unknown; it is a variable like `x`.
• "is" represents equality; replace it with `=`.
• "`2 2/3%`" is a number. It stays the same.
• "of" is equivalent to multiplication. Replace "of" with `xx`.
• "`60`" is another number; it stays the same.

The whole sentence "What is `2 2/3%` of `60`" then becomes

`x=2 2/3% xx 60`

Now, all we do is solve for `x`.

`x=2 2/3% xx 60`

`color(white)x=8/3*1/100 xx 60`

`color(white)x=(8*1*60)/(3*100)`

`color(white)x=(480)/(300)" "=" "1.6`

Bonus:

There's a shortcut you can use for questions like this. First, figure out in your head what `1%` of `60` is by dividing `60-:100` (this is `0.6`). Then use the following mental math:

`1%` of `60` is `0.6`
`2%` of `60` must be `1.2` (that is, `2xx0.6`)
`2/3` of `0.6` is `0.4`, so `2/3%` of `60` must be `0.4`

`2 2/3` is `2 + 2/3`, so `2 2/3%` of `60` must be `1.2+0.4`, which is `1.6`

Answer 2

`1.6`

Explanation:

`2 2/3~~2.667`

`100%` is to `60` as `2.667%` is to `x`

`(100%)/60=(2.667%)/x`

`100% xx x" "=" "2.667% xx 60`

`x=1.6`