Multiply&Divide Fractions
Multiply fractions - use the area model

EX: 3/4 x 2/3
The numerator is the number of boxes double 
shaded and the denominator is the total number
3/4
2/3
Shade in 3
rows and
2 columns
6/12 is the
answer
use the area model to multiply the fractions
Show your work on separate paper
2/3 x 5/6 =
Draw a square - make 3columns and shade 2
Make 6 rows and shade 5
The numerator is the number of boxes with both colors
The denominator is the totalnumber of boxes
Use the area model to multiply the fractions
Show your work on separate paper
5/7 x 6/8 =
Draw a square - make 7
columns and shade 5

make 8 rows and shade 6

The boxes shaded with both
colors is the numerator
the denominator is the total
number of boxed
Use the bar model to show whole number divided
by a fraction:

EX:   6 ÷ 1/4
Count the number of pieces this is your answer
Divide each
bar into the
number of 
pieces of the
denominator
Use the bar model - draw 4 rectangles - divide each
bar into 5 sections - count the total number of
pieces - this is your answer
show your work on separate paper
4 ÷ 1/5 =
show your work on separate paper
Use the bar model  - make 8 rectangles  - divide
each into 3 pieces - count the total - this is your
answer
8÷ 1/3 =
5 ÷ 1/2 =
show your work on
separate paper
6 ÷ 1/3 =
4
Use the area model to show a fraction divided by
a whole number
EX: 1/3 ÷ 4
1/3
Divide the model into3 columns (up&down) shade 1 columnand then divide into4 rows
The numerator staysthe same and thedenominator is the total number of boxes
1/12
use the area model to represent a fraction dividedby a whole number
draw a square - make 5 columns and shade in 1
make 3 rows
the numerator stays the samethe denominator is the total number of boxes in the model
show your work on separate paper
1/5 ÷ 3
use the area model to represent a fraction dividedby a whole number
draw a square - make 9 columns and shade in 2
make 4 rows
the numerator stays the samethe denominator is the total number of boxes in the model
show your work on separate paper
2/9 ÷ 4
use the area model to represent a fraction dividedby a whole number
draw a square - make 8 columns and shade in 1
make 2 rows
the numerator stays the samethe denominator is the total number of boxes in the model
show your work on separate paper
1/8 ÷ 2
show your work on separate paper
1/7 ÷ 4
show your work on
separate paper
3/5 ÷ 6
Olivia ordered 4 pizzas. She wanted to sharethe pizza with her friends.  She thinks that eachperson should get 1/4 of the pizza.  How manypeople can Olivia feed?
Model this on separate paper
people can eat the pizza
Miguel has a collection of marbles.  2/3 of them are
blue.  Of the blue marbles, 3/7 of them are light blue
What fraction of all Miguel's marbles are light blue?
Model this on separate paper
are light blue
A walking trail through the park is 7/8 of a mile.
The city want to include 3 benches on the walking
trail.  How far apart will the benches be if their 
distances are equal?
Model this on separate paper
of a mile
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