Lesson Worksheet: Dividing Mixed Numbers Mathematics • 6th Grade

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.

  • A2747
  • B12
  • C267
  • D12027
  • E115

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.

  • A13512 ft
  • B14512 ft
  • C7524 ft
  • D2856 ft
  • E15512 ft

Q4:

To finish making curtains for her 18 windows, Chloe 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.

  • A612 yd
  • B634 yd
  • C6 yd
  • D614 yd
  • E7 yd

Q6:

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

  • A9613 m
  • B1113 m
  • C2223 m
  • D13 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.

  • A135
  • B415
  • C334
  • D113
  • E6

Q8:

3713÷=1.

  • A2713
  • B1346
  • C3713
  • D1333

Q9:

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

  • A15
  • B12
  • C715
  • D35
  • E25

Q10:

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

  • A415
  • B310
  • C15
  • D13
  • E215

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?

  • A113
  • B1723
  • C589
  • D34
  • E4512

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

  • A4512 km
  • B91516 km
  • C1723 km
  • D3934 km
  • E589 km

Q12:

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

  • A319÷435
  • B437÷625
  • C514÷927
  • D712÷267
  • E225÷534

Q13:

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

Q14:

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

Q15:

Find 𝑥÷𝑦 given that 𝑥=519 and 𝑦=229.

  • A2310
  • B212
  • C289
  • D1023
  • E12

Q16:

Find 𝑥÷𝑦 given that 𝑥=734 and 𝑦=178.

  • A4215
  • B7
  • C578
  • D1562
  • E67

Q17:

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

  • A121112 ft
  • B131112 ft
  • C62324 ft
  • D2756 ft
  • E141112 ft

Q18:

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

  • Aless than
  • Bgreater than

Q19:

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

  • A38
  • B18
  • C914
  • D8
  • E11125

Q20:

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.

  • A214 hours, 230hoursminutes
  • B214 hours, 215hoursminutes
  • C214 hours, 430hoursminutes
  • D214 hours, 450hoursminutes
  • E214 hours, 225hoursminutes

Q21:

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

Q22:

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

  • A1332
  • B779
  • C740
  • D11145

Q23:

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

  • A258
  • B821
  • C314
  • D1128
  • E423

Q24:

Calculate 1415+105÷125, giving your answer in its simplest form.

  • A835
  • B67
  • C238105
  • D2221

Q25:

Elizabeth gets an allowance of $3.00 per month. She has found out that it is 112 times what Emma gets but only 23 of what Olivia gets. How much allowance do Emma and Olivia get?

  • AEmma: $4.50, Olivia: $3.67
  • BEmma: $2.00, Olivia: $4.50
  • CEmma: $1.50, Olivia: $4.50
  • DEmma: $4.50, Olivia: $2.00
  • EEmma: $2.00, Olivia: $2.33

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