Understanding Ratios, Decimals, and Percentages

The video tutorial explains how to compare the shaded area to the total area using ratios. It demonstrates how to express these ratios in three different forms: as a fraction, using the word 'to', and with a colon. The tutorial also covers converting these ratios into decimals and percentages. Additionally, it shows how to simplify ratios by finding common factors and provides examples using different grids. The lesson concludes with a summary of the key points discussed.

What is the total number of parts in the grid used to introduce the concept of ratios?

• 100

• 50

• 85

• 20

How can the ratio of shaded to total area be expressed using words?

• 85/100

• 85 over 100

• 85:100

• 85 to 100

What is the decimal representation of the ratio 85 to 100?

• 0.95

• 0.75

• 0.85

• 0.58

What percentage does the shaded area represent in the initial example?

• 95%

• 85%

• 75%

• 58%

What is the simplified ratio of shaded to total area when the grid is divided into 20 parts?

• 85 to 100

• 58 to 100

• 17 to 20

• 29 to 50

In the second example, how many parts are shaded out of 100?

• 50

• 29

• 58

• 85

What is the fraction form of the ratio in the second example before simplification?

• 58/100

• 85/100

• 17/20

• 29/50

What is the decimal equivalent of the ratio 58 to 100?

• 0.95

• 0.75

• 0.85

• 0.58

What is the percentage representation of the shaded area in the second example?

• 58%

• 95%

• 85%

• 75%

What is the simplified ratio of shaded to total area in the second example?

• 29 to 50

• 85 to 100

• 17 to 20

• 58 to 100