# 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 cm
^{2} - B cm
^{2} - C cm
^{2} - D cm
^{2} - E cm
^{2}

**Q2: **

Jacob draws a rectangle with an area of cm^{2},
and Michael draws a rectangle with an area of cm^{2}.
What is the difference between the two areas?

- A cm
^{2} - B cm
^{2} - C cm
^{2} - D cm
^{2} - E cm
^{2}

**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