Worksheet: Dividing Mixed Numbers

In this worksheet, we will practice dividing two mixed numbers and applying this in real-life situations.

Q1:

Find 𝑥÷𝑦 given that 𝑥=367 and 𝑦=657.

  • A 2 7 4 7
  • B 1 2
  • C 2 6 7
  • D 1 2 0 2 7
  • E 1 1 5

Q2:

Without evaluating each expression, decide whether 814÷878 is greater than or less than 814÷538.

  • Agreater than
  • Bless than

Q3:

Daniel’s room is 173 inches long. Express, in feet, his room’s length as a mixed number in the simplest form.

  • A 1 3 5 1 2 ft
  • B 1 4 5 1 2 ft
  • C 7 5 2 4 ft
  • D 2 8 5 6 ft
  • E 1 5 5 1 2 ft

Q4:

To finish making curtains for her 18 windows, Olivia needs 127 yards of fabric per window. At the store, she found a bolt of fabric she liked with 258 yards on it. How many windows can she finish the curtains for?

Q5:

Victoria is making bed sheets that will take 61336 yards of fabric. If that fabric is sold in half yards , determine how many yards of fabric she will need.

  • A 6 1 2 yd
  • B 6 3 4 yd
  • C6 yd
  • D 6 1 4 yd
  • E7 yd

Q6:

A cloth of length 523 meters was cut into 17 equal pieces. How long is each piece?

  • A 9 6 1 3 m
  • B 1 1 1 3 m
  • C 2 2 2 3 m
  • D 1 3 m

Q7:

A school wants to organize a 5 km race. A lap around the park is 56 miles. Given that 5=318kmmiles, how many laps will the children run? Give your answer as a mixed number.

  • A 1 3 5
  • B 4 1 5
  • C 3 3 4
  • D 1 1 3
  • E6

Q8:

3 7 1 3 ÷ = 1 .

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

Q9:

Evaluate 335÷6 giving the answer in its simplest form.

  • A 1 5
  • B 1 2
  • C 7 1 5
  • D 3 5
  • E 2 5

Q10:

Evaluate 313÷10 giving the answer in its simplest form.

  • A 4 1 5
  • B 3 1 0
  • C 1 5
  • D 1 3
  • E 2 1 5

Q11:

Sophia and Liam have walked 1314 km in 214 hours.

As they want to walk for 3 hours, what fraction of their walk have they completed so far?

  • A 1 1 3
  • B 1 7 2 3
  • C 5 8 9
  • D 3 4
  • E 4 5 1 2

If they keep up the same pace, what distance will they have walked in 3 hours?

  • A 4 5 1 2 km
  • B 9 1 5 1 6 km
  • C 1 7 2 3 km
  • D 3 9 3 4 km
  • E 5 8 9 km

Q12:

Identify, without performing any division, the expression which has a quotient greater than 1.

  • A 3 1 9 ÷ 4 3 5
  • B 4 3 7 ÷ 6 2 5
  • C 5 1 4 ÷ 9 2 7
  • D 7 1 2 ÷ 2 6 7
  • E 2 2 5 ÷ 5 3 4

Q13:

Anthony and Benjamin want to make some cupcakes for their younger sister’s birthday. Anthony goes to the store and buys 214 cups of sugar. When he gets home, Benjamin says he located 78 of a cup of sugar. The recipe says that they can make a dozen cupcakes with 112 cups of sugar. If they combine the sugar they have, and they have all the other necessary ingredients, how many full batches of a dozen cupcakes can they make?

  • A3 batches
  • BNone because they do not have enough sugar
  • C1 batch
  • D2 batches

Q14:

A worker earns 214LE per hour. One day he earns 412LE. How long did he work that day?

Q15:

A shirt can be made from 223 yards of fabric. How many shirts can you make with 48 yards of fabric?

  • A16 shirts
  • B18 shirts
  • C19 shirts
  • D17 shirts

Q16:

A wire that is 88 meters long was cut into pieces of 512 meters each. Find the number of pieces produced.

Q17:

Find 𝑥÷𝑦 given that 𝑥=519 and 𝑦=229.

  • A 2 3 1 0
  • B 2 1 2
  • C 2 8 9
  • D 1 0 2 3
  • E 1 2

Q18:

Find 𝑥÷𝑦 given that 𝑥=734 and 𝑦=178.

  • A 4 2 1 5
  • B7
  • C 5 7 8
  • D 1 5 6 2
  • E 6 7

Q19:

Matthew’s room is 167 inches long. Express, in feet, his room’s length as a mixed number in the simplest form.

  • A 1 2 1 1 1 2 ft
  • B 1 3 1 1 1 2 ft
  • C 6 2 3 2 4 ft
  • D 2 7 5 6 ft
  • E 1 4 1 1 1 2 ft

Q20:

Without evaluating each expression, decide whether 817÷249 is greater than or less than 817÷712.

  • Aless than
  • Bgreater than

Q21:

Calculate 910÷715. Give your answer in its simplest form.

  • A 3 8
  • B 1 8
  • C 9 1 4
  • D8
  • E 1 1 1 2 5

Q22:

It took Noah one hour and a half to clean two-thirds of the house. How long will it take him to clean the whole house? Give your answer as a mixed number in hours and minutes.

  • A 2 1 4 hours, 2 3 0 h o u r s m i n u t e s
  • B 2 1 4 hours, 2 1 5 h o u r s m i n u t e s
  • C 2 1 4 hours, 4 3 0 h o u r s m i n u t e s
  • D 2 1 4 hours, 4 5 0 h o u r s m i n u t e s
  • E 2 1 4 hours, 2 2 5 h o u r s m i n u t e s

Q23:

Megan spent 1114dollars, or three-quarters of her pocket money, on books. How much pocket money did she have before she bought the books?

Q24:

Calculate 116×212÷223. Give your answer in its simplest form.

  • A 1 3 3 2
  • B 7 7 9
  • C 7 4 0
  • D 1 1 1 4 5

Q25:

Use the diagram to find 34÷27 (i.e., the number that 34 is 27 of).

  • A 2 5 8
  • B 8 2 1
  • C 3 1 4
  • D 1 1 2 8
  • E 4 2 3

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