1. A way to compare 2 qualities Usually written as fractions
Ratio’s
A way to compare 2 qualities
Usually written as fractions
in simplest form
7:12
𝟕 𝟏𝟐
7 to 12
7 OUT of 12

2. Write 12 correct answers out
of 30 questions as a ratio
in simplest form.
# 𝑪𝒐𝒓𝒓𝒆𝒄𝒕 𝑨𝒏𝒔𝒘𝒆𝒓𝒔 𝑻𝒐𝒕𝒂𝒍 𝒒𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔
12 30
÷6 ÷6
= 2 5

3. But what does this really mean? questions, 2 were answered
It means that for every 5
questions, 2 were answered
correctly.

4. 7th graders at HMS were surveyed . Out of 400
Students, 275 choose basketball as their
Favorite sport.
Express as a ratio in simplest form.
# 𝑾𝒉𝒐 𝒄𝒉𝒐𝒐𝒔𝒆 𝒃𝒂𝒔𝒌𝒆𝒕𝒃𝒂𝒍𝒍 𝑻𝒐𝒕𝒂𝒍 𝒔𝒕𝒖𝒅𝒆𝒏𝒕𝒔 𝒔𝒖𝒓𝒗𝒆𝒚𝒆𝒅
÷25 ÷25
= 11 16

5. But what does this really mean? Basketball as their favorite
It means that for every 16
students, 11 choose
Basketball as their favorite
sport.

6. 4 weeks to plan 2 events
# 𝒆𝒗𝒆𝒏𝒕𝒔 𝑻𝒐𝒕𝒂𝒍 𝒘𝒆𝒆𝒌𝒔
2 4
÷2 ÷2
= 1 2

7. But what does this really mean? It means that it took 2 weeks
to plan 1 event

8. Write the ratio, simplify and
Your turn to try!
Pg 5 #2-7
Write the ratio, simplify and
explain what it means

9. Write the ratio, simplify and
Your turn to try!
Pg 7 #1-10
Write the ratio, simplify and
explain what it means

10. A ratio comparing quantities
Unit Rates
A ratio comparing quantities
with different units
What are some common
Unit Rates?
Miles per gallon
$$ per hour

11. A Unit Rate must have a 1 in the denominator For every 1 hour, you can
30 𝑚𝑖𝑙𝑒𝑠 2 ℎ𝑜𝑢𝑟𝑠
÷2 ÷2
= 15 𝑚𝑖𝑙𝑒𝑠 1 ℎ𝑜𝑢𝑟
For every 1 hour, you can
Travel 15 miles

12. A Unit Rate must have a 1 in the denominator 1 orange costs $2.50
$25 10 𝑜𝑟𝑎𝑛𝑔𝑒𝑠
÷10 ÷10
= $ 𝑜𝑟𝑎𝑛𝑔𝑒
1 orange costs $2.50

13. In 1 minute, he reads 25 words
A Unit Rate must have a
1 in the denominator
300 𝑤𝑜𝑟𝑑𝑠 12 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
÷12 ÷12
= 25 1 𝑚𝑖𝑛𝑢𝑡𝑒
In 1 minute, he reads 25 words

14. Your turn to try on your own! The denominator MUST be 1
Remember
The denominator MUST be 1
Check your answer
For reasonableness!
Pg 11 #1-12

15. Comparing Rates
$0.33
$0.53

16. Comparing Rates
$0.266
$0.285
$0.178

17. Comparing Rates
$0.59
$0.21
$0.50
$0.44