Fraction and Division Word Problems

Mr. Richards reviews grade 6 practice problems from Unit 4, Lesson 8. The video covers various scenarios involving fractions and tape diagrams to solve problems related to strawberries, raspberries, painting, walking distances, bookshelf organization, and ordering expressions. Each problem is broken down step-by-step, using diagrams and equations to find solutions.

Mae has picked one cup of strawberries, which is 3/4 of the cake. How many cups does she need for the whole cake?

• 1 and 1/3 cups

• 2 cups

• 1 cup

• 3 cups

Priya has picked 1.5 cups of raspberries, which is 3/4 of the cake. How many cups does she need for the entire cake?

• 1 cup

• 1.5 cups

• 2 cups

• 2.5 cups

Tyler painted nine half square yards of wall area with three gallons of paint. How many gallons does it take to paint each square yard?

• 2/3 gallon

• 1 gallon

• 1/3 gallon

• 3 gallons

After walking 1/4 mile, Han is 1/3 of the way to school. What is the total distance to school?

• 1/2 mile

• 3/4 mile

• 1 mile

• 1 and 1/4 miles

What multiplication equation corresponds to the division equation 4/5 divided by 2/3?

• 2/3 x 5/4 = 4/5

• 2/3 x 6/5 = 4/5

• 2/3 x 3/2 = 4/5

• 2/3 x 4/5 = 1

A bookshelf is 36 inches wide. How many 1.5-inch wide books can fit on it?

• 18 books

• 30 books

• 24 books

• 20 books

Which expression has the smallest value: 56 divided by 8, 56 divided by 8 million, or 56 divided by 0.1?

• All are equal

• 56 divided by 8

• 56 divided by 8 million

• 56 divided by 0.1

If 56 divided by 8 is 7, what is the result of 56 divided by a number greater than 8 but less than 56?

• Cannot be determined

• Greater than 7

• Less than 7

• Equal to 7

What is the relationship between the divisor and the quotient when the dividend is constant?

• Smaller divisor, smaller quotient

• No relationship

• Larger divisor, smaller quotient

• Larger divisor, larger quotient

Which number between 8 and 56 will result in a quotient greater than 1 but less than 7 when dividing 56?

• 40

• 30

• 20

• 10