# Lesson Worksheet: Word Problems: Adding and Subtracting Mixed Numbers with Unlike Denominators Mathematics • 5th Grade

In this worksheet, we will practice solving problems by adding and subtracting up to three mixed numbers with different denominators by finding common denominators.

Q1:

The three polygons shown with their given areas are combined together to form the shape . What will the area of the red part be?

• A cm2
• B cm2
• C cm2
• D cm2
• E cm2

Q2:

Jacob draws a rectangle with an area of cm2, and Michael draws a rectangle with an area of cm2. What is the difference between the two areas?

• A cm2
• B cm2
• C cm2
• D cm2
• E cm2

Q3:

Benjamin’s car consumed liters of gasoline yesterday and liters today. What is the total consumption of gasoline in both days?

• A liters
• B liters
• C liters
• D liters
• E liters

Q4:

David decided to run every day. The given table shows the distance he ran in the first 3 days.

 Day Distance (km) Sunday Monday Tuesday 134 212 314

Which of the following models can be used to find the total distance he ran in the 3 days?

• A
• B
• C
• D
• E

Find the total distance he ran in the 3 days.

• A km
• B km
• C km
• D km
• E km

Q5:

Scarlett uses a roll of border fencing that is feet long to surround a rectangular flower bed in her garden. If the width of the flower bed is feet, what is its length?

Q6:

Last week, Daniel and Isabella exercised by running, cycling, and swimming. The table shows the fraction of the total exercise time that they spent on each activity. Find the missing fraction for each person.

Exercise Daniel Isabella
Running
Cycling
Swimming
• BDaniel: , Isabella:
• CDaniel: , Isabella:
• DDaniel: , Isabella:
• EDaniel: , Isabella:

Q7:

Benjamin and Isabella both started cycling along a track in the same direction. Benjamin cycled of a mile and then stopped. Isabella cycled of a mile and then turned around and cycled back along the path for of a mile. Who is farther from the starting point? What is the distance between them?

• AIsabella, mi
• BBenjamin, mi
• CBenjamin, mi
• DBenjamin, mi
• EIsabella, mi

Q8:

A mirror’s length is of a foot, and its width is of a foot less than its length. Determine the width of the mirror in fraction form.

• A ft
• B ft
• C ft
• D ft
• E ft

Q9:

A baby’s bottle can hold of a cup of milk. In order to feed her baby, the mother filled the bottle to the top with of a cup of milk. Determine how much milk was already inside the bottle.

• A c
• B c
• C c
• D c
• E c

Q10:

Chloe drank fluid ounces of water on Monday, on Tuesday, and on Friday. How much more water did Chloe drink on Monday and Tuesday than on Friday?

• A fl oz
• B fl oz
• C fl oz
• D fl oz
• E fl oz

This lesson includes 14 additional questions and 195 additional question variations for subscribers.