Question

Six students in a class of 30 are wearing green socks. What percent of students are wearing green socks?

Answer 1

20%

Explanation:

You need to create a ratio and then multipy by 100 to figure out the percentage.

`% = 100((part)/(whol e))`

Make the substitutions

`% = 100((6)/(30))`

Simplify

`% = 100((1)/(5))`

Cancel

`% = 20cancel100((1)/(cancel5))`

`% = 20(1)`

`% = 20`

Answer 2

`20%`

Explanation:

When you write a fraction, it is the same as a decimal or percent, just in a different form.

`6/30 = 1/5" "larr` simplify first

What is `1/5` as a percent?

Method 1: convert to a denominator of 100

`1/5 xx 20/20 = 20/100" "larr 20%`

Method 2: fraction`xx 100%`

`1/cancel5 xx cancel100^20%" "larr` note that `xx100% = xx100/100 = xx 1`

=`20%`

Method 3: Write as a decimal

`1/5 = 2/10 = 0.2`

`0.2 = 0.20" "larr` 2 decimal places represent hundredths

=`20/100 = 20%`