Understanding Ratios and Percentages

The video tutorial explains how to represent ratios as percentages and simplified fractions. It begins with a survey of high school students waking up before 6:30 a.m., showing how to express the ratio 35 to 100 in different forms and convert it to 35%. The tutorial then demonstrates simplifying the fraction using the greatest common factor (GCF). A second example involves a survey of community college students who believe textbooks are too expensive, converting the ratio 48 to 50 into a percentage and simplifying the fraction. The video emphasizes understanding ratios, percentages, and fraction simplification.

What is the ratio of high school students waking up before 6:30 a.m. expressed as a percent?

• 70%

• 50%

• 35%

• 25%

How can the ratio 35 to 100 be expressed using a colon?

• 35/100

• 35:100

• 35-100

• 35,100

What is the first step in converting a ratio to a percent?

• Multiply the numerator by 2

• Divide the numerator by 2

• Express the ratio as a fraction

• Find the greatest common factor

What does the term 'percent' mean in terms of ratios?

• Per 10

• Per 50

• Per 100

• Per 1000

What is the simplified fraction of the ratio 35 to 100?

• 7/20

• 5/20

• 1/5

• 3/10

According to the survey, what percent of community college students believe textbooks cost too much?

• 96%

• 94%

• 98%

• 92%

What is the ratio of 48 to 50 expressed as a fraction with a denominator of 100?

• 50/100

• 100/100

• 48/100

• 96/100

How can the ratio 48 to 50 be expressed using the word 'to'?

• 48/50

• 48 to 50

• 48,50

• 48-50

What is the greatest common factor used to simplify the fraction 48 to 50?

• 2

• 4

• 6

• 8

What is the simplified fraction of the ratio 48 to 50?

• 12/25

• 24/25

• 48/50

• 25/24