Fractions as Multiples of Unit
Fractions: Using Models (13 – 1)
Ricardo has an apple that is cut into quarters.
He wants to eat
How many
1
4
3
4
of the apple.
pieces does he need to make
3
?
4
Use fraction strips and a number line.
Each fraction strip equals
There are three
3
4
1
4
1
.
4
fraction strips.
= 3 × 41
Ricardo needs three
1
4
pieces to make
3
.
4
In 1 and 2, use the number line and fraction strips to complete the
equation.
1.
4
6
=
×
7
8
=
×
2.
Multiplying a Fraction by a
Whole Number: Using Models
Write a multiplication equation of a whole
number times a fraction to go with the picture.
Find the unit fraction:
1
5
1
5
1
5
Count the number of unit fractions: 6
Write a multiplication equation to show the number of unit
fractions times the unit fraction. 6 × 1 =
5
Multiply to find the product. 6 × 1 =
5
6
5
The multiplication equation that goes with the picture is 6 × 1 =
5
In 1−2, write a multiplication equation of a whole number and a
fraction to go with the picture.
1.
1
3
1
3
1
3
1
3
1
3
1
3
1
3
1
3
1
4
1
4
1
4
Unit fraction:
Number of unit fractions:
Multiplication equation:
2.
1
4
1
4
1
4
1
4
1
4
Unit fraction:
Number of unit fractions:
Multiplication equation:
1
4
6
.
5
1
5
1
5
1
5
1
5
Multiplying a Fraction by a
Whole Number: Using Symbols (13 – 3)
Josh has 4 pieces of rope. Each
piece of rope is 3 yard long. How
4
many yards of rope does Josh have?
You can think of each piece of rope
as a separate group. The size of each
group is 3 yard.
3
4
+3+3+3
4
4
4
4
Since all of the groups are the same size, you can use
multiplication to find the total.
4×
3
4
=
(4 × 3)
4
= 12
4
Think: The number
of groups times the
size of each group.
=3
Josh has 3 yards of rope.
Solve. Show your work.
1. Mia is painting her room. Her room has 4 walls. Each wall
uses 2 gallon of paint. How much paint does she need to
3
paint all of her walls?
2
3
+2 +2 +2 =4× 2
3
3
3
3
4× 2 =
3
2. Nat has 5 pieces of string. Each piece is
7
8
inch long. How
many inches of string does Nat have?
7
8
+ 7 + 7 + 7 + 7 =5× 7
8
8
8
8
8
5× 7 =
8
3. Caroline is making 8 batches of biscuits. Each batch uses
5
cup of flour. How many cups of flour does Caroline need?
6