1. 5-1 Ratios Warm Up Write each fraction in simplest terms. 1. 36 40 9
Course 2
5-1
Ratios
Warm Up
Write each fraction in simplest terms. 1. 36 40 9 10 21 35 3 5 2. 8 12 2 3 42 90 7 15 3. 4. 15 80 3 16 56 84 2 3 5. 6.

2. 5-1 Ratios Problem of the Day
Course 2
5-1
Ratios
Problem of the Day
If June 1 falls on a Tuesday, on which day of the week does September 1 fall?
Wednesday

3. Course 2
5-1
Ratios
Learn to identify, write, and compare ratios.

4. Insert Lesson Title Here
Course 2
5-1
Ratios
Insert Lesson Title Here
Vocabulary
ratio

5. Course 2
5-1
Ratios
In basketball practice. Kathlene made 17 baskets in 25 attempts. She compared the number of baskets she made to the total number of attempts she made by using the
ratio A ratio is a comparison of two
quantities by division. 17 25
Kathlene can write her ratio of baskets made
to attempts in three different ways. 17 25
17 to 25
17:25

6. Additional Example 1: Writing Ratios
Course 2
5-1
Ratios
Additional Example 1: Writing Ratios
Twenty students are asked to choose their favorite music category. Eight choose pop, seven chose hip hop, and five chose rock. Write each ratio in all three forms.
A. rock to hip hop
The ratio of rock to hip hop is 5 to 7, which can be written as the follows: 5 7
, 5 to 7, 5:7
B. hip hop to pop
The ratio of hip hop to pop is 7 to 8, which can be written as the follows: 7 8
, 7 to 8, 7:8

7. Additional Example 1: Writing Ratios
Course 2
5-1
Ratios
Additional Example 1: Writing Ratios
Twenty students are asked to choose their favorite music category. Eight choose pop, seven chose hip hop, and five chose rock. Write each ratio in all three forms.
C. rock to pop and hip hop
The ratio of rock to pop is 5 to 8 and rock to hip hop is 5 to 7, which can be written as the follows: 5 15
, 5 to 15, 5:15

8. 5-1 Ratios Check It Out: Example 1
Course 2
5-1
Ratios
Check It Out: Example 1
Nineteen students are asked to choose their favorite sport. Nine choose rock climbing, four chose kite surfing, and six chose snow boarding. Write each ratio in all three forms.
A. snow boarding to rock climbing
The ratio of snow boarding to rock climbing is 6 to 9, which can be written as the follows: 6 9
, 6 to 9, 6:9
B. kite surfing to snow boarding
The ratio of kite surfing to snow boarding is 4 to 6, which can be written as the follows: 4 6
, 4 to 6, 4:6

9. 5-1 Ratios Check It Out: Example 1
Course 2
5-1
Ratios
Check It Out: Example 1
Nineteen students are asked to choose their favorite sport. Nine choose rock climbing, four chose kite surfing, and six chose snow boarding. Write each ratio in all three forms.
C. rock climbing to kite surfing and snowboarding
The ratio of rock climbing to kite surfing is 9 to 4 and rock climbing to snow boarding is 9 to 6, which can be written as the follows: 9 10
, 9 to 10, 9:10

10. Course 2
5-1
Ratios
Sometimes a ratio can be simplified. To simplify a ratio, first write it in fraction form and then simplify the fraction.

11. Course 2
5-1
Ratios
A fraction is in simplest form when the GCF of the numerator and denominator is 1.
Remember!

12. Additional Example 2: Writing Ratios in Simplest Form
Course 2
5-1
Ratios
Additional Example 2: Writing Ratios in Simplest Form
On average, most people can read about 600 words in 3 minutes. Write the ratio of words to minutes in all three forms. Write your answer in simplest form.
words
minute
600 3 =
Write the ratio as a fraction.
words
minute
600 ÷ 3
3 ÷ 3 =
Simplify.
words
minute
200 1
For every minute, there are 200 words read. =
The ratio of words to minutes is 200 to 1.

13. 5-1 Ratios Check It Out: Example 2
Course 2
5-1
Ratios
Check It Out: Example 2
At Casitas Middle School there are 456 microscopes for 152 students. Write the ratio of microscopes to students in all three forms. Write your answer in simplest form.
microscopes
students
456
152
Write the ratio as a fraction. =
microscope
students
456 ÷ 152
152 ÷ 152 =
Simplify.
microscope
students 3 1
For every microscope, there are 3 children. =
The ratio of microscopes to students is 3 to 1.

14. Course 2
5-1
Ratios
To compare ratios, write them as fractions with common denominators. Then compare the numerators.

15. Additional Example 3: Comparing Ratios
Course 2
5-1
Ratios
Additional Example 3: Comparing Ratios
Honey-lemon cough drops come in packages of 30 drops per 10-ounce bag. Cherry cough drops come in packages of 24 drops per 6-ounce bag. Compare the ratio of drops per ounces for each bag of cough drops.
Honey-lemon
Cherry
Drops 30 24
Ounces 10 6
drops
ounces 30 10 3 1 =
Honey-lemon: =
Write the ratios as fractions with common denominators.
drops
ounces 24 6 4 1
Cherry: = =
Because 4 > 3 and the denominators are the same, the drops to ounces is greater in the bag of cherry cough drops.

16. 5-1 Ratios Check It Out: Example 3
Course 2
5-1
Ratios
Check It Out: Example 3
Jelly Beans come in small packages of 25 per 5 ounce package and large packages of 56 per 8 ounce package. Compare the ratio of jelly beans per ounce for each of the packages.
Large
Small
Jelly beans 56 25
Ounces 8 5
jelly beans
ounces 56 8 7 1 =
Large: =
Write the ratios as fractions with common denominators.
jelly beans
ounces 25 5 5 1
Small: = =
Because 7 > 5 and the denominators are the same, jelly beans to ounces is greater in the small package.

17. Insert Lesson Title Here
Course 2
5-1
Ratios
Insert Lesson Title Here
Lesson Quiz: Part I
A coin bank contains 16 quarters, 12 dimes, and 8 nickels. Write the given ratio in all three forms.
1. nickels to quarters
2. dimes to nickels
3. nickels and dimes to quarters 8 16
, 8 to 16, 8:16 or 1 2
, 1 to 2, 1:2 12 8
, 12 to 8, 12:8 or 3 2
, 3 to 2, 3:2 20 16
, 20 to 16, 20:16 or 5 4
, 5 to 4, 5:4

18. Insert Lesson Title Here
Course 2
5-1
Ratio
Insert Lesson Title Here
Lesson Quiz: Part II
4. There are 220 calories in 5 crackers. Write the ratio of calories to crackers in all three forms. Write your answers in simplest form.
5. On a school trip, Bus 1 has 3 teachers and 14 students. Bus 2 has 4 teachers and 28 students. Which bus has the greatest ratio of teachers to students?
44 calories
1 cracker
, 44 to 1, 44:1
Bus 1