Multiplying Fractions
Word Problems
Multi-step word Problems
Decomposing Fractions
Comparing Fractions
100

3 x 1/4  




 

3/4 

100

Diego completed 2/5 of his homework before dinner and 1/5 after dinner.

How much homework did he complete?

3/5

100

A student is coloring a picture.

In the morning, he colors 1/6 of the picture.
Later, he colors another 2/6 of the picture.

Question:
How much of the picture has he colored in total?

How much of the picture is left to color?

Final Answer:

  • Colored: 1/2

  • Left: 1/2

100

Write 3/5 as a sum of unit fractions.


1/5 + 1/5 + 1/5

100

Which fraction is greater: 1/2 or 1/3?

Show your work on a number line or Diagram

1/2

200

6 x 4/12 

(For an extra 100 points, convert the fraction into a mixed number fraction)

24/12 or 2 wholes 

200

A class finished 6/8 of a book. They read another 1/8

How much of the book have they read now?


7/8

200

A student is reading a book.

On Monday, she reads 2/8 of the book.
On Tuesday, she reads another 3/8 of the book.

Question:
How much of the book has she read in total?

If the whole book is 8/8, how much does she have left to read?

Final Answer:

  • Read: 5/8

  • Left: 3/8

200

Write 4/6 as a sum of unit fractions.

1/6 + 1/6 + 1/6 + 1/6 

200

Which fraction is greater: 4/8 or 1/2?

Show you work on a number line or Diagram

Equal =

300

9 x 3/8

(For an extra 100 points, convert to a mixed number fraction)

27/8 or 3 and 3/8

300

What fraction can be added to the expression shown below to have a total value of one whole?

2/12 +7/12?

3/12

300

A group of students is walking laps around the playground.

In the morning, they walk 3/8 mile.
Later, they walk another 2/8 mile.

In the afternoon, they walk 5/8 mile.

Question:
How many miles did the students walk in total?

Then, if their goal was to walk 2 miles, how many more miles do they need to walk?

Show your work.

Final Answer:

  • Total walked: 1 1/4 miles or 10/8

  • More needed: 3/4

300

Represent 5/8 in two ways. 

As sums of units and a diagram.

1/8 + 1/8 + 1/8 +1/8 + 1/8

and 

Draw a diagram of 1/8 - 5 times

300

Which fraction is greater: 3/5 or 1/4?

Show your work using a number line or Diagram

3/5
400

7 x 4 3/9

(For an extra 100 points, convert to a mixed number fraction)

28/9 or 3 1/9

400

Rosie combined 1 3/4 gallons of cranberry juice and 3/4 gallon of apple juice to make fruit juice.

How many gallons of fruit juice did Rosie make with the cranberry juice and apple juice?

(Must be converted to a mixed number fraction!!)

2 1/2

400

A recipe makes 4 servings of fruit parfait.

  • It uses 3/4 cup of yogurt

  • It uses 1/2 cup of granola

You want to make enough for 12 people.

How much of each ingredient will you need?

Show your work.

Final Answer:

  • Yogurt: 2 1/4 cups or 9/4

  • Granola: 1 1/2 cups or 3/2

400

Write 1 2/4 as a sum of unit fractions.

4/4 + 1/4 + 1/4 or it can be shown in other ways.

400

Which is greater: 7/8 or 5/6?

7/8

500

2 1/3 x 6 2/5 

(You must convert to a mixed number fraction)

14 14/15

500


Two expressions are shown below.

Expression A: 1/4 × 2

Expression B: 1/2 × 5

Which expression, A or B, has a value greater than 1? Be sure to include the value of each expression in your answer.

Explain how you know your answer is correct.


Final Answer:
Expression B has a value greater than 1.

Explanation:
Multiplying 1/2 by 5 gives more than one whole, while multiplying 1/4 by 2 only gives half of a whole.



500

A group of students walk to school and to the park together 5 days a week. Each day, they start at Tia’s home and end at Tia’s home. The number of miles they walk each day is described below.

  • from Tia’s home to their school is 7/8 mile

  • from their school to the park is 5/8 mile

  • from the park to Tia’s home is 3/8 mile

What is the total distance, in miles, that the group of students walk together in those 5 days?

Show your work.

75/8 or 9 3/8

500

Write 2 1/3 as a sum of unit fractions.


3/3  + 3/3 + 1/3 or another way. 

500

Which is greater: 2 1/3 or 2 2/5?

2 2/5