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# 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

**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 |

- ADaniel: , Isabella:
- 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

**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