1. Copy planner 7-1 Ratios and Proportions Warm Up
Pre-Algebra
7-1
Ratios and Proportions
Copy planner
Warm Up
Write each fraction in lowest terms. 14 16 1. 7 8 24 64 2. 3 8 9 72 3. 1 8 45
120 4. 3 8

2. Learn to find equivalent ratios to create proportions.

3. Vocabulary
ratio
equivalent ratio
proportion

4. Ratios can be written in several ways. A colon is often used
Ratios can be written in several ways. A colon is often used. 90:3 and name the same ratio.
Reading Math
90 3

5. Find two ratios that are equivalent to each given ratio.= 9 27 =
9 • 2
27 • 2 18 54 A. 9 27 = =
9 ÷ 9
27 ÷ 9 1 3
Two ratios equivalent to are and . 9 27 18 54 1 3 =
64 • 2
24 • 2 64 24 =
128 48
Two ratios equivalent to are and . 64 24
128 48 8 3 B. 64 24 = =
64 ÷ 8
24 ÷ 8 8 3

6. Ratios that are equivalent are said to be proportional, or in proportion. Equivalent ratios are identical when they are written in simplest form.

7. Simplify to tell whether the ratios form a proportion.
Since ,
the ratios are in proportion. 1 9 = 3 27 A.
and 2 18 3 27 = =
3 ÷ 3
27 ÷ 3 1 9 2 18 = =
2 ÷ 2
18 ÷ 2 1 9 12 15 B.
and 27 36 12 15 = =
12 ÷ 3
15 ÷ 3 4 5
Since ,
the ratios are not in proportion. 4 5  3 27 36 = =
27 ÷ 9
36 ÷ 9 3 4

8. Lesson Quiz: Part 1
Find two ratios that are equivalent to each given ratio. 4 15 1. 8 30 12 45
Possible answer: , 16 42 24 63
Possible answer: , 8 21 2.
Simplify to tell whether the ratios form a proportion. 16 10 3.
32 20 8 5 =
; yes
and 36 24 4.
28 18 3 2 14 9 
; no
and

9. Lesson Quiz: Part 2
5. Kate poured 8 oz of juice from a 64 oz bottle. Brian poured 16 oz of juice from a 128 oz bottle. What ratio of juice is missing from each bottle? Are the ratios proportional? 8 64 16
128
and ; yes, both equal
1 8