Dividing and Understanding Fractions

This video tutorial covers Lesson 9, focusing on dividing fractions and determining if the quotient is greater or less than 1. It includes multiple examples, such as calculating the cost of fabric, determining the capacity of water containers, and finding the cost per kilogram of baking soda. The lesson also introduces the concept of multiplying by the reciprocal as a shortcut for division problems.

If you divide 1/2 by 1/4, will the result be greater or less than 1?

• Cannot be determined

• Less than 1

• Greater than 1

• Equal to 1

In the water container example, how many liters of water fit in the dispenser?

• 1 and 7/8 liters

• 2 and 1/4 liters

• 2 liters

• 1 and 1/2 liters

How much does each yard of fabric cost if 3.5 yards cost $21?

• $7

• $6

• $5

• $8

If 4/9 of a kilogram of baking soda costs $2, what is the cost of one kilogram?

• $4.50

• $5.00

• $4.00

• $3.50

How many liters of water fill one bottle if 1 and 1/5 bottles can be filled with 3 liters?

• 1 and 1/2 liters

• 2 liters

• 2 and 1/2 liters

• 3 liters

How many gallons of water fill the entire bucket if 5/4 gallons fill 5/6 of it?

• 1 and 1/2 gallons

• 2 gallons

• 1 and 1/4 gallons

• 1 gallon

What is the shortcut for dividing fractions that involves flipping the second fraction?

• Add the fractions

• Subtract the fractions

• Divide by the reciprocal

• Multiply by the reciprocal

What is the result of multiplying 1/3 by the reciprocal of 1/4?

• 4/3

• 3/4

• 1/3

• 1/4

Why is it important to understand the context of a division problem?

• To ensure the correct setup of the division problem

• To make the problem easier

• To simplify the problem

• To avoid using diagrams

What is the result of dividing 3/4 by 2/5?

• 3/5

• 5/3

• 15/8

• 8/15