Understanding Ratios, Decimals, and Percentages

In this video, Professor Gisele Ramos explains how to write ratios in decimal and percentage forms. She provides examples, such as calculating the ratio of correct exam answers and a cyclist's average speed. The video also covers converting fractions to percentages and calculating the metal content in an alloy. Various methods for converting ratios to percentages and decimals are demonstrated, emphasizing simplification and equivalent fractions.

What is a ratio typically used for?

• To subtract two numbers

• To add two numbers

• To compare two numbers

• To multiply two numbers

How can you simplify the fraction 45/90?

• Multiply both numerator and denominator by 3

• Divide both numerator and denominator by 5

• Divide both numerator and denominator by 9

• Multiply both numerator and denominator by 2

What is the decimal form of the fraction 5/10?

• 2.0

• 0.2

• 0.5

• 0.05

How do you calculate average speed?

• Divide time by distance

• Multiply distance by time

• Divide distance by time

• Add distance and time

What is the decimal representation of 43/2?

• 20.5

• 23.5

• 22.5

• 21.5

How do you convert a fraction with a denominator of 100 to a percentage?

• Add 100 to the numerator

• Replace the denominator with the percentage symbol

• Divide the numerator by 100

• Multiply the numerator by 100

What is 40/100 as a percentage?

• 4%

• 40%

• 400%

• 0.4%

If a sculptor uses 23 kg of copper and 2 kg of tin, what is the percentage of copper in the alloy?

• 50%

• 92%

• 8%

• 23%

How do you convert 35% to a decimal?

• 0.35

• 3.5

• 0.035

• 35.0

What is the decimal form of 160%?

• 1.6

• 160.0

• 0.16

• 16.0