Fraction Operations and Unit Rates

The video tutorial covers the concept of ratios of fractions and their unit rates. It begins with a warm-up on dividing fractions and converting improper fractions to mixed numbers. The tutorial includes examples such as comparing the speeds of two runners, calculating a turtle's speed, determining flour needed for cupcakes, and mixing paint ratios. Each example demonstrates the use of unit rates and proportional relationships. The video concludes with additional examples to reinforce the concepts taught.

What is the first step when dividing a fraction by another fraction?

• Add the fractions

• Subtract the fractions

• Multiply the fractions

• Keep the first fraction, change the operation to multiplication, and flip the second fraction

If Izzy ran 2.25 miles in 15 minutes, what is her speed in miles per hour?

• 12 miles per hour

• 15 miles per hour

• 9 miles per hour

• 6 miles per hour

How is the fraction 5/6 derived when calculating the turtle's speed?

• By subtracting 50 from 60

• By dividing 50 by 60

• By multiplying 50 by 60

• By adding 50 and 60

What is the turtle's speed in miles per hour if it walks 7/8 of a mile in 50 minutes?

• 1.2 miles per hour

• 1 mile per hour

• 1.05 miles per hour

• 1.1 miles per hour

How many cupcakes can be made with 1 cup of flour if the recipe requires 3 1/3 cups for 30 cupcakes?

• 11 cupcakes

• 9 cupcakes

• 7 cupcakes

• 5 cupcakes

If a recipe makes 30 cupcakes with 3 1/3 cups of flour, how many cupcakes can be made with 1 cup of flour?

• 10 cupcakes

• 9 cupcakes

• 11 cupcakes

• 8 cupcakes

What is the unit rate of blue paint to red paint in Sally's painting project?

• 1:1

• 1:1.67

• 1:1.5

• 1:2

How many pieces can be cut from an 18-foot board if each piece is 1 1/3 feet long?

• 13.5 pieces

• 14 pieces

• 13 pieces

• 12 pieces

If a bakery uses 5.25 cups of flour in the morning, how many batches of cookies did they make if each batch requires 1.75 cups?

• 2 batches

• 5 batches

• 3 batches

• 4 batches

How many cookies are made if there are 5 dozen cookies in each batch and 3 batches are made?

• 150 cookies

• 160 cookies

• 170 cookies

• 180 cookies