Ratios and Unit Rates

The video tutorial explains the importance of fractions, focusing on two special types: ratios and unit rates. Ratios compare two numbers of the same type, illustrated with a bike gear example. Unit rates, which have different units in the numerator and denominator, are explained through real-life examples like speed limits and nutritional information. The video also demonstrates how to use unit rates to compare prices, such as determining the better deal between two cereal boxes. The tutorial concludes by emphasizing the practical applications of ratios and unit rates in everyday problem-solving.

What is the ratio of turns between the larger and smaller gear on a bike if the larger gear turns once?

• 3 to 1

• 1 to 3

• 2 to 3

• 1 to 2

If a cyclist turns the larger gear 3 times, how many times will the smaller gear turn?

• 3 times

• 12 times

• 9 times

• 6 times

Which of the following is an example of a unit rate?

• 3 apples to 2 oranges

• 4 cups of flour to 1 cup of sugar

• 5 students to 1 teacher

• 60 miles per hour

How many servings of soup are there per can according to the label?

• 2.5 servings

• 1.5 servings

• 2 servings

• 3 servings

Which cereal box offers a better price per ounce?

• Neither, they are both overpriced

• The smaller 16-ounce box

• The larger 28-ounce box

• Both have the same price per ounce