# There are 300 students in English 101 and 660 students in English 102 what is the ratio in simplest form of the students in English 101 ?

May 4, 2018

$\frac{5}{11}$

#### Explanation:

$\frac{300}{660}$, where 300 is the number of students in English 101, and 660 is the number of students in English 102.

Divide by 60, the GCF.

$\frac{300}{60}$ = 5
$\frac{660}{60}$ = 11

$\frac{5}{11}$ is the ratio in its simplest form.

May 6, 2018

$\frac{5}{16}$

#### Explanation:

I am going to interpret this poorly worded question differently from how Camilleon did.

There were 960 students in the 2 courses. The number of students in English 101 was
$\frac{300}{960} = \frac{100}{320} = \frac{10}{32} = \frac{5}{16}$
of the total students in the 2 courses.

I do not know which answer will be considered correct, but this points out that clarity is important.

I hope this helps,
Steve

May 9, 2018

Depending on what quantities are to be compared it is

$5 : 11 \text{ or } 5 : 16$

#### Explanation:

A ratio is a comparison between two or more quantities.

The question does not state clearly what quantities must be compared?

Assuming it is
"The ratio of students in $101 \text{ ":" }$ students in $102$

Then we have: $300 \text{ : } 660$
Which gives: " "5" : "11" "larr(div 60 for simplest form )

I would assume this is what was intended.

But if it is meant as
"The ratio of students in $101 \text{ : }$ the students in both"

Then we have: $300 \text{ : } 960$
Which gives: " "5" : "16" "larr(div 60 for simplest form )