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Ratios
What is a Ratio?
A ratio is a comparison of two numbers that can be
expressed in the following three ways:
as a Fraction
with a colon (:)
using the word “to”
Example: as a fraction: 2/4
with a colon: 2:4
with “to”: 2 to 4
If you are told that there are three teacher for
every 12 students at School. The three ways this
ratio of teachers to students can be written are:
Word example:
* as a fraction:3/12
* with a colon: 3:12
* with “to”: 3 to 12
Notice that in each case, the number of teachers is written first (or
in the numerator of the fraction). This is because the problem
stated that we were to express the ratio of teachers to students.
Typically the first thing mentioned in a ratio problem is what is
listed first.
If the problem had asked us to express the number of students to
teachers , each of our ratios would be written in the opposite
order:
* as a fraction:
* with a colon: 12:3
* with “to”: 12 to 3
Question #2
Audio
Out of every 100 students at a high school , 52 are taking a
advance class. Express each of the following relationships as a
ratio in fraction form:
a. the number of students taking a advance class to the total
number of students.
b. the number of students not taking advance class to the number
of students taking a advance class.
Try These
Question #1
Cameron went to a pizza store where there were 80 seats for
non-smokers and 10 seats for smokers. Express the ratio of the
number of seats for smokers to the total number of seats.
A. 80/90
B. 1/9
C.10/90
B is correct
Question #2
Audio A owner at a local restaurant notes that during the day
his customers ordered 3 breakfast meal for every 1 diner meal .
Express the ratio of breakfast meal to diner meals drinks as a
fraction.
A. 3/1
B. 1/3
C. 3/3
B is correct