The ideas in this fraction lesson are taken from the Math Mammoth Fractions 2 book.
Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
Multiply Fractions by Whole Numbers
Free fraction lesson plan from HomeschoolMath.net
1. a. Color first
3
8
. Color another
3
8
. Continue
till you have colored five times
3
8
.
5 ×
3
8
=
[available in the book]
c. Color five times
7
12
.
5 ×
7
12
=
e. [available in the book]
Multiplication of whole numbers can be solved by repeated
addition:
Multiplying a fraction by a whole number can be
solved the
same way:
3 ×
1
4
=
1
4
+
1
4
+
1
4
=
3
4
5 ×
2
9
=
2
9
+
2
9
+
2
9
+
2
9
+
2
9
=
10
9
= 1
1
9
2. Write the multiplication problems as addition problems and
solve. Remember to give your answer as
a mixed number and simplify the fractional
parts to lowest terms whenever possible.
a. 5 ×
1
4
=
f. [available in the book]
3. Solve. Can you find a SHORTCUT where you don't have to solve these by actually adding?
a.
3 ×
2
9
h.
3 ×
3
10
The shortcut is (explain)
__________________________________________________________
We know multiplication can be done in any order.
In other words, multiplication is commutative.
So, 5 ×
3
8
is the same as
3
8
× 5. Both equal
15
8
or 1
7
8
.
4. Multiply.
a.
5 ×
7
9
[available in the book]
h.
12
17
× 10
A fraction of a number is the same as that fraction TIMES
the number. In other words,
the word 'of ' translates into multiplication. For example:
3
7
of 14 is
3
7
× 14. You can solve this by multiplying 14 ×
3
7
=
42
7
= 6.
5. a. Marlene wants to cut down on sugar - so she
decided to
only use 2/3 of the amount of
sugar mentioned in the
recipe. How much sugar
will she need?
b. [available in the book]
Brownies
1/2 C butter
2 C brown sugar
4 eggs
12 tbsp cocoa powder
2 cups flour
1 tsp vanilla
The ideas in this fraction lesson are taken from the Math Mammoth Fractions 2 book.
Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
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