Determining Rates with Fractions

The video tutorial addresses a problem involving fractions, where Calvin uses a fraction of a bottle of cleaning solution to clean a portion of his bathroom. The goal is to determine what fraction of the bottle is needed to clean the entire bathroom. The instructor guides viewers through understanding the problem, setting up the calculation, and performing the division to find the rate of bottles per bathroom. The solution involves dividing one-third of a bottle by three-fifths of a bathroom, resulting in five-ninths of a bottle per bathroom.

What fraction of his bathroom does Calvin clean with one third of a bottle of cleaning solution?

• One half

• Three fifths

• One fourth

• Two thirds

What is the main question we are trying to answer in this problem?

• How many bottles Calvin uses to clean his kitchen

• What fraction of the bottle Calvin uses to clean his entire bathroom

• How long it takes Calvin to clean his bathroom

• How many times Calvin cleans his bathroom

What do we need to figure out to solve the problem?

• The number of bathrooms Calvin has

• The type of cleaning solution Calvin uses

• The number of bottles Calvin uses per bathroom

• The size of Calvin's bathroom

How do we express the rate mathematically?

• Bottles per minute

• Bathrooms per hour

• Bathrooms per bottle

• Bottles per bathroom

What fraction of a bottle does Calvin use to clean three-fifths of a bathroom?

• Three fifths

• Two thirds

• One half

• One third

What operation do we need to perform to find the rate?

• Multiplication

• Division

• Subtraction

• Addition

What is the reciprocal of three-fifths?

• Three fifths

• Two fifths

• One third

• Five thirds

What is the result of multiplying one third by the reciprocal of three-fifths?

• Five ninths

• Two thirds

• One fifth

• Three fifths

How many bottles does Calvin need to clean his entire bathroom?

• Five ninths of a bottle

• One bottle

• Three fifths of a bottle

• Two bottles

What is the final fraction of the bottle Calvin uses to clean his entire bathroom?

• Two thirds

• Five ninths

• Three fifths

• One third