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?

  • A214 cm2
  • B12712 cm2
  • C1434 cm2
  • D4112 cm2
  • E1013 cm2

Q2:

Jacob draws a rectangle with an area of 812 cm2, and Michael draws a rectangle with an area of 613 cm2. What is the difference between the two areas?

  • A256 cm2
  • B1456 cm2
  • C216 cm2
  • D812 cm2
  • E613 cm2

Q3:

Benjamin’s car consumed 512 liters of gasoline yesterday and 613 liters today. What is the total consumption of gasoline in both days?

  • A1156 liters
  • B116 liters
  • C1125 liters
  • D613 liters
  • E512 liters

Q4:

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

DaySundayMondayTuesday
Distance (km)134212314

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.

  • A714 km
  • B634 km
  • C612 km
  • D712 km
  • E734 km

Q5:

Scarlett uses a roll of border fencing that is 2514 feet long to surround a rectangular flower bed in her garden. If the width of the flower bed is 158 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
Running47
Cycling12
Swimming1517
  • ADaniel: 12, Isabella: 37
  • BDaniel: 37, Isabella: 12
  • CDaniel: 411, Isabella: 38
  • DDaniel: 310, Isabella: 27
  • EDaniel: 45, Isabella: 67

Q7:

Benjamin and Isabella both started cycling along a track in the same direction. Benjamin cycled 25 of a mile and then stopped. Isabella cycled 45 of a mile and then turned around and cycled back along the path for 23 of a mile. Who is farther from the starting point? What is the distance between them?

  • AIsabella, 11315 mi
  • BBenjamin, 415 mi
  • CBenjamin, 1115 mi
  • DBenjamin, 11315 mi
  • EIsabella, 415 mi

Q8:

A mirror’s length is 23 of a foot, and its width is 38 of a foot less than its length. Determine the width of the mirror in fraction form.

  • A316 ft
  • B724 ft
  • C13 ft
  • D511 ft
  • E1124 ft

Q9:

A baby’s bottle can hold 23 of a cup of milk. In order to feed her baby, the mother filled the bottle to the top with 14 of a cup of milk. Determine how much milk was already inside the bottle.

  • A18 c
  • B13 c
  • C411 c
  • D512 c
  • E524 c

Q10:

Chloe drank 4523 fluid ounces of water on Monday, 5538 on Tuesday, and 4712 on Friday. How much more water did Chloe drink on Monday and Tuesday than on Friday?

  • A541324 fl oz
  • B371924 fl oz
  • C101124 fl oz
  • D531324 fl oz
  • E1324 fl oz

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

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