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

##### 2 Answers

The answer is

#### 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

#x=2 2/3% xx 60#

Now, all we do is solve for

#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#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#