# 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 given that and .

• A
• B
• C
• D
• E

Q2:

Without evaluating each expression, decide whether is greater than or less than .

• 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 ft
• B ft
• C ft
• D ft
• E ft

Q4:

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

Q5:

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

• A yd
• B yd
• C6 yd
• D yd
• E7 yd

Q6:

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

• A m
• B m
• C m
• D m

Q7:

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

• A
• B
• C
• D
• E6

Q8:

.

• A
• B
• C
• D

Q9:

Evaluate giving the answer in its simplest form.

• A
• B
• C
• D
• E

Q10:

Evaluate giving the answer in its simplest form.

• A
• B
• C
• D
• E

Q11:

Sophia and Liam have walked km in hours.

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

• A
• B
• C
• D
• E

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

• A km
• B km
• C km
• D km
• E km

Q12:

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

• A
• B
• C
• D
• E

Q13:

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

Q14:

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

Q15:

Find given that and .

• A
• B
• C
• D
• E

Q16:

Find given that and .

• A
• B7
• C
• D
• E

Q17:

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

• A ft
• B ft
• C ft
• D ft
• E ft

Q18:

Without evaluating each expression, decide whether is greater than or less than .

• Aless than
• Bgreater than

Q19:

• A
• B
• C
• D8
• E

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. • A hours,
• B hours,
• C hours,
• D hours,
• E hours,

Q21:

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

Q22:

• A
• B
• C
• D

Q23:

Use the diagram to find (i.e., the number that is of). • A
• B
• C
• D
• E

Q24:

• A
• B
• C
• D

Q25:

Elizabeth gets an allowance of \$3.00 per month. She has found out that it is times what Emma gets but only 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