Worksheet: Dividing a Mixed Number by Another and Evaluating Expressions

In this worksheet, we will practice how to divide a mixed number by another and how this can be used to evaluate algebraic expressions in real-life situations.

Q1:

Find given that and .

Q2:

Find given that and .

Q3:

Find given that and .

Q4:

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

Aless than
Bgreater than

Q5:

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

Agreater than
Bless than

Q6:

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

Q7:

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

Q8:

To finish making curtains for her 18 windows, Olivia 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?

Q9:

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 7 yd
B 6 yd
C yd
D yd
E yd

Q10:

Madison baked 21 cupcakes. How many dozen cupcakes did she bake? Express the number as a mixed number in the simplest form.

Q11:

Scarlett bought gallons of ice cream to serve at her birthday party. If a pint is of a gallon, how many pint-sized servings can be made?

Q12:

Express, in years, Benjamin’s age as a mixed number in the simplest form.

Student	Benjamin	James	Michael	Noah
Age (months)	45	39	58	45

A years
B years
C years
D years
E years