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.


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


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


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


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

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


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


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


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


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


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


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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