Converting Fractions to Percents Using Proportions

The video tutorial explains how to convert fractions to percents. It begins by introducing the concept that any number over 100 can be written as a percent. The tutorial demonstrates this with the example of converting 20/100 to 20%. It then addresses situations where the denominator is not 100, using 9/30 as an example. The video shows how to reduce the fraction to 3/10 and then convert it to 30% by scaling the denominator to 100.

What is the basic concept for converting any number over 100 to a percent?

• Subtract 100 from the number

• Write the number as a fraction over 100

• Divide the number by 100

• Multiply the number by 100

In the example of converting 20/100 to a percent, what is the first step?

• Subtract 20 from 100

• Divide 20 by 100

• Multiply 20 by 5

• Set up a proportion

When converting 20/100 to a percent, what do you do after setting up the proportion?

• Subtract 5 from the denominator

• Add 5 to the numerator

• Multiply both the numerator and denominator by 5

• Divide the numerator by 5

Why can't 30 be directly converted to 100 in the example of 9/30?

• Because 30 is less than 100

• Because 30 is greater than 100

• Because 30 is not a multiple of 100

• Because 30 is not divisible by 100

What is the first step when you can't find a scale factor for conversion?

• Add to the fraction

• Reduce the fraction

• Subtract from the fraction

• Multiply the fraction

How do you reduce the fraction 9/30?

• Multiply both the numerator and denominator by 3

• Divide both the numerator and denominator by 3

• Add 3 to both the numerator and denominator

• Subtract 3 from both the numerator and denominator

After reducing 9/30 to 3/10, what is the next step to convert it to a percent?

• Multiply both the numerator and denominator by 10

• Divide both the numerator and denominator by 10

• Add 10 to both the numerator and denominator

• Subtract 10 from both the numerator and denominator

What is the final percent value of 9/30 after conversion?

• 35%

• 30%

• 25%

• 20%

What should you do when the denominator of a fraction is 100?

• Subtract 100 from the numerator

• Write the numerator as the percent

• Divide the numerator by 100

• Multiply the numerator by 100