User:
Proportions

# Ratio

A ratio is a comparison of two numbers.

Suppose we want to write the ratio of 8 and 12.
We can write this as 8:12 or as a fraction 8/12, and we say the ratio is eight to twelve.

The ratio of two numbers a and b is the quotient

In the 2009 Nathan's Hot Dog eating contest, Joey Chestnut ate 68 hotdogs in 10 minutes. Find how many hog dog per minute this is.

The ratio is $\frac{68}{10}=6.8$ hd/min

Sussan has a bag with 3 pens, 4 pencils, 7 felt tip pens, and 1 pencil sharpener. What is the ratio of pencils to pens?
Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 4/3.
Two other ways of writing the ratio are 4 to 3, and 4:3.