Represent Ratios and Percent with Models, Fractions, and Decimals

Visual models that use rectangles to represent the parts of a ratio

• double number model

• box plot

• histogram

• tape diagram

8:6 and 4:3 are

• equivalent ratios

• unit rates

• ratios

• exponents

What is a ratio?

• “3 to 2”

• “3 for every 2”

• 3:2

• 3 cups of flour for every 2 eggs

One hundred middle school students take a survey that asks them about their favorite ice cream flavor. A table was created to represent the survey results as a fraction, decimal, and percent.

Select TWO fraction, decimal, percent lists to complete the table

Which of the following statements is accurate based on the three models named (a), (b), and (c)?

• (a) can be written as 1:4 and (b) is 10%

• (b) is 0.10 and (c) is 65%

• together (c) and (a) make 90%

• (b) is a ratio of 1:10 and (c) is 3:5

The image shows has shaded and unshaded squares. What fraction and percentage represents the portion of the board squares that are shaded?

Move the correct answer to each box. Not all answers will be used.

Fraction: ​ ​ (a)  

Percentage:​ (b)  

• 60%

• 90%

• 40%

Four points are plotted on the number line. 

Which point best represents 33 ⅓% of the distance between 0 and 1?

Select the point on the number line below.

The manager of a bookstore noted that 7 out of 8 customers bought a book along with their coffee.

What decimal is equivalent to the fraction of customers who bought a book with their coffee?

Enter your answer in the box provided.

Mathematical Equivalence

ON

• 100%

• 85%

• 18%

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

• 3:5

• 1:3

• 3:11

• 3:10