Worksheet: Subtracting Mixed Numbers with Unlike Denominators

In this worksheet, we will practice subtracting two mixed numbers by partitioning the numbers, renaming a whole if necessary, and writing equivalent fractions over the same denominator.

Q1:

Write 15756 in its simplest form.

  • A 2 2 5 6
  • B 7 1 6
  • C 8 1 6
  • D7
  • E 1 6

Q2:

Last month, Anthony trained for 5312 hours at the gym. This month, he trained 4649 hours. How many more hours did he train last month?

  • A 8 2 1 9
  • B 7 2 1 9
  • C 1 1 8
  • D 7 1 1 8
  • E 2 1 9

Q3:

Write 171312 in its simplest form.

  • A 5 6
  • B 1 7 5 6
  • C16
  • D 1 6 5 6

Q4:

Hannah needs 479 yards of fabric to make a new dress. The fabric store has 949 yards of the fabric she wants. How much of that fabric will remain at the store after Hannah buys her fabric?

  • A 1 4 2 9 yd
  • B 2 1 3 yd
  • C 7 1 9 yd
  • D 4 2 3 yd
  • E 3 7 yd

Q5:

The table shows the number of hours Daniel has been working the past 3 weeks. He normally works a maximum of 112 hours a month. How many hours will he spend working in week 4?

Week 1 2 3 4
Number of Hours 2 6 1 3 2 9 1 4 3 0 1 9 ?
  • A 2 6 1 1 3 6 h
  • B 2 6 1 2 3 7 h
  • C 2 7 1 1 3 6 h
  • D 5 6 5 1 2 h
  • E 8 5 2 5 3 6 h

Q6:

Olivia bought 438 pounds of meat. If she cooked two 114 pounds of meat, determine how much is left.

  • A 7 8 lb
  • B 8 9 lb
  • C 3 1 8 lb
  • D 2 8 9 lb
  • E 1 7 8 lb

Q7:

The table shows the weekly running log of four cross-country team members. Find the difference in miles between the runner who ran the farthest distance and the one who ran the shortest distance.

Runner Anthony Daniel Matthew Mason
Number of Miles 2 8 3 8 3 5 1 2 3 6 1 3 3 2 5 6
  • A 7 2 3 2 4 mi
  • B 4 1 1 2 4 mi
  • C 7 1 8 mi
  • D 6 4 1 7 2 4 mi
  • E 8 2 3 2 4 mi

Q8:

The typical length of a rufous hummingbird is 3110 inches, and the typical length of a broad-tailed hummingbird is 4 inches. How much shorter is the rufous hummingbird than a broad-tailed hummingbird?

  • A 1 1 1 0 in
  • B 9 1 0 in
  • C2 in
  • D6 in
  • E1 in

Q9:

A boy scout has a rope that is 7047 inches long. He cuts 927 inches off one end of the rope and cuts 267 inches off the other end. How long is the remaining rope?

  • A 5 8 4 7 in
  • B 5 9 3 7 in
  • C 5 9 4 7 in
  • D 5 8 3 7 in
  • E 6 0 3 7 in

Q10:

7 7 , 7 7 1 1 0 , 0 0 0 2 9 3 7 1 0 , 0 0 0 to the nearest thousandth.

Q11:

Last month, Noah trained for 7812 hours at the gym. This month, he trained 7216 hours. How many more hours did he train last month?

  • A 7 1 2
  • B 6 1 2
  • C 1 3
  • D 6 1 3
  • E 1 2

Q12:

Liam had a piece of lumber 15 ft long. He cut some pieces to use in his workshop, and 312 ft remained. How much of the wood did he use?

  • A12 ft
  • B 4 2 7 ft
  • C 1 1 1 2 ft
  • D 5 2 1 2 ft
  • E 1 8 1 2 ft

Q13:

Calculate 112113. Give your answer in its simplest form.

  • A 1 2
  • B1
  • C 1 3
  • D 1 6

Q14:

Madison’s house, the library, and the gym are on the same road. She lives 1012 mi from the library, which is 12 mi farther from her house than the gym. How far is it from Madison’s house to the gym?

Q15:

Jacob hiked 10 miles. He ran for 164 miles and then walked the rest. Determine the distance Jacob walked.

Q16:

Charlotte had nine and a half pounds. She gave her brother five and a quarter pounds. How much money does Charlotte have left?

  • A 4 1 4 L E
  • B 1 4 1 2 L E
  • C 4 1 2 L E
  • D 1 4 3 4 L E

Q17:

Isabella wants to find out how much her dog weighs. She steps on the scale and reads her weight as 13158 pounds. The combined weight of Isabella and dog is 14778 pounds. How much does her dog weigh?

  • A 1 4 lb
  • B 6 9 1 4 lb
  • C 1 6 7 8 lb
  • D 1 6 1 4 lb
  • E 1 6 5 8 lb

Q18:

4 2 1 1 1 , 0 0 0 1 3 5 7 1 , 0 0 0 to the nearest hundredth.

Q19:

Find the rational number lying halfway between 123 and 612.

  • A 2 9 1 2
  • B 1 7 6
  • C 1 6
  • D 3 4

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