Understanding Rates and Fractions

The video tutorial explains unit rates and proportions, focusing on solving problems involving complex fractions. It provides examples such as calculating the time for Maddie to swim a full race, determining the distance a car travels in a given time, finding how far a caterpillar can travel in a minute, and calculating a dog's food consumption per meal. The tutorial emphasizes using proportions and the rule of multiplying by the reciprocal to solve these problems.

What is a unit rate?

• A rate that compares a quantity to zero

• A rate that compares a quantity to one

• A rate that compares two different quantities

• A rate that compares two similar quantities

What is a complex fraction?

• A fraction with a decimal in the numerator

• A fraction with a whole number in the denominator

• A fraction with a whole number in the numerator

• A fraction with another fraction in the numerator or denominator

How do you simplify a complex fraction?

• By adding the fractions

• By dividing the fractions and using the reciprocal

• By multiplying the fractions

• By subtracting the fractions

If Maddie swims 1/4 of a race in 45 seconds, how long will it take her to swim a full race?

• 135 seconds

• 90 seconds

• 225 seconds

• 180 seconds

A car travels 24 miles in half an hour. How far will it travel in 3.5 hours?

• 192 miles

• 168 miles

• 96 miles

• 84 miles

A caterpillar takes 3/2 minutes to travel 3/4 of a foot. How far can it travel in 1 minute?

• 1/2 foot

• 1 foot

• 1/4 foot

• 3/4 foot

A dog eats 3/8 cups of food per 1/4 of a meal. How many cups does it eat in one meal?

• 2 cups

• 1 1/2 cups

• 1 1/4 cups

• 1 cup