Understanding Percentages and Fractions

This video tutorial covers the concept of percents, explaining how they relate to ratios and how to write them in different forms such as fractions and decimals. It includes practice problems, demonstrates the proportion method for solving percent problems, and uses modeling with a 100 grid. The lesson also introduces benchmark percents and their application in real-world scenarios.

What is a percent in terms of a ratio?

• A ratio that compares a number to 100

• A ratio that compares a number to 1000

• A ratio that compares two numbers equally

• A ratio that compares a number to 10

Which of the following is NOT a way to express 17%?

• 0.17

• 17/10

• 17/100

• 17 to 100

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

• Multiply the numerator by 10

• Divide the numerator by 10

• Use the numerator as the percent

• Add 100 to the numerator

What is the decimal equivalent of 66%?

• 0.66

• 0.066

• 6.6

• 66.0

In the proportion method, what is the first step to solve for a missing value?

• Add the numbers

• Cross multiply

• Divide the numbers

• Subtract the numbers

How many squares would you shade in a 10x10 grid to represent 70%?

• 100 squares

• 30 squares

• 70 squares

• 50 squares

What fraction is equivalent to 25%?

• 1/3

• 1/4

• 1/2

• 1/5

If a bar graph is divided into fifths, what percent does each section represent?

• 10%

• 20%

• 25%

• 50%

Which benchmark fraction is closest to 76%?

• 1/2

• 3/4

• 2/3

• 4/5

What is the simplified fraction form of 75%?

• 5/6

• 2/5

• 1/2

• 3/4