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 | Sunday | Monday | Tuesday |
|---|---|---|---|
| Distance (km) |
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:
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
Q6:
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
Q7:
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
Q8:
Matthew lives mi from the school, and James lives mi from it. Who lives closer to the school and by how much?
- AJames, mi
- BMatthew, mi
- CMatthew, mi
- DJames, mi
- EMatthew, mi
Q9:
Chloe walks h to work on Route A and h back to her house on Route B every day. Which route does she spend more time on and by how much?
- ARoute B, h
- BRoute B, h
- CRoute A, h
- DRoute A, h
- ERoute A, h
Q10:
A supermarket is of a mile from Charlotte’s house and of a mile from Sophia’s house. How much farther is the supermarket from Sophia’s house than it is from Charlotte’s house?
- A mi
- B mi
- C mi
- D mi
- E mi
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