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:

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

Q6:

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

Q7:

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

Q8:

Matthew lives 58 mi from the school, and James lives 23 mi from it. Who lives closer to the school and by how much?

  • AJames, 23 mi
  • BMatthew, 711 mi
  • CMatthew, 58 mi
  • DJames, 124 mi
  • EMatthew, 124 mi

Q9:

Chloe walks 34 h to work on Route A and 23 h back to her house on Route B every day. Which route does she spend more time on and by how much?

  • ARoute B, 1512 h
  • BRoute B, 12 h
  • CRoute A, 213 h
  • DRoute A, 112 h
  • ERoute A, 124 h

Q10:

A supermarket is 27 of a mile from Charlotte’s house and 25 of a mile from Sophia’s house. How much farther is the supermarket from Sophia’s house than it is from Charlotte’s house?

  • A2435 mi
  • B435 mi
  • C13 mi
  • D15 mi
  • E17 mi

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