Dividing Fractions and Word Problems

The video tutorial explains how to divide whole numbers by fractions using three examples: placing road signs along a road, dividing submarine sandwiches for a party, and distributing nuts into bags. Each example demonstrates the division process and checks the results using multiplication by the reciprocal.

What is the first step in dividing whole numbers by fractions using a model?

• Estimate the result.

• Multiply the numbers directly.

• Set up the division problem and write it out.

• Draw the fraction first.

How many signs are needed for 2 miles of road if a sign is placed every 1/4 mile?

• 10 signs

• 6 signs

• 4 signs

• 8 signs

What is the reciprocal of 1/4?

• 2

• 1/2

• 4/1

• 4

If George has 4 submarine sandwiches and each person eats 2/3 of a sandwich, how many people can he feed?

• 7 people

• 6 people

• 5 people

• 4 people

What operation is equivalent to dividing by 2/3?

• Multiplying by 3/2

• Multiplying by 2/3

• Subtracting 2/3

• Dividing by 3/2

How many bags can Miranda make if she divides 6 pounds of nuts into bags containing 3/4 pound each?

• 6 bags

• 7 bags

• 8 bags

• 9 bags

What is the first step in determining how many bags Miranda can make?

• Draw a model of 6 pounds

• Divide 6 by 3/4

• Estimate the number of bags

• Multiply 6 by 3/4

What does the denominator in the fraction 3/4 represent in the context of dividing nuts into bags?

• The number of bags

• The number of parts each pound is divided into

• The total weight of nuts

• The number of pounds per bag

What is the equivalent multiplication operation for dividing by 3/4?

• Dividing by 4/3

• Subtracting 3/4

• Multiplying by 3/4

• Multiplying by 4/3

How many groups of 3/4 can be taken out of 6 pounds?

• 6 groups

• 7 groups

• 8 groups

• 9 groups