1. Learning Outcomes
Multiply mixed numbers with a whole number.
Divide fractions with :
a whole number.
a fraction
Divide mixed numbers with :
a whole number.
a fraction.

2. Multiply mixed numbers with a whole number.
Example 1 :
1 x 50
Convert to Step 1 :
improper 3
x 50
fraction
2
Step 2 : Multiply the
3 3x50 numerator by
x 50 the whole
2 2 number
Carry out
the division Step 3 :
150
150 ÷2
2
Answer = 75
Cancellation
Alternative : method
25
x 50 = 75

3. Example 2:
1 x 100
Convert to
improper Step 1 :
fraction x 100
Step 2 : Multiply the
numerator by
x 100 the whole
number
Carry out
the division
Step 3 :
? ÷4
Answer = ?

4. Divide fractions with : a whole number and a fraction
Example 1 :
Find the quotient ÷ 5
Change the ÷
to x Inverse the
divisor
5
5=
Step 1 :
1 5
÷
3 1
Multiply numerator
Step 2 :
by numerator,
1 1 1 denominator by
x =
3 5 15 denominator
Example 2 :
Find the quotients ÷
÷
Change the ÷
to x Inverse the
divisor
Step 1 :
1 2
÷
3 9
Step 2 :
1 9 3 Carry out the plan
x = by cancellation
3 2 2 method
1
= 12

5. Example 3 :
Find the quotient ÷ 6
Change the ÷
to x Inverse the
divisor
Step 1 :
÷
Step 2 :
x =
=
Answer in the simplest form
Example 4 :
Find the quotient ÷
÷
Change the ÷
to x Inverse the
divisor
Step 1 :
÷
Step 2 :
x =

6. Divide mixed numbers with : a whole number and a fraction
Convert into
improper fraction
Example 1 :
Find the quotient 2 ÷5
Change the ÷
to x Inverse the
divisor
5
5=
Step 1 :
9 5
÷
4 1
Multiply numerator
Step 2 :
by numerator,
9 1 9 denominator by
x =
4 5 20 denominator
Example 2 :
Find the quotients ÷
4 ÷ Convert into
improper fraction
Change the ÷
to x Inverse the
divisor
Step 1 :
40 8
÷
9 9
Step 2 : 5 Carry out the plan
40 9 by cancellation
x
9 8 method
=5

7. Example 3 :
Find the quotient 2 ÷ 6
Change the ÷
to x Inverse the
divisor
Step 1 :
÷
7
Step 2 : 1
x =
Example 4 :
Find the quotients 2 ÷
÷
Change the ÷
to x Inverse the
divisor
Step 1 :
÷
7
Step 2 : 1
x =

8. Solve problems involving multiplication and division.
Example :
Material Quantity Price
Yellow beads 1 RM5 per packet
2 packets
2
1
Mina buys 2 packets of yellow beads. Calculate the total cost of the beads.
2
STEP 1:
1
2 × RM5
2
Understand the
problem and
underline the key
words
Convert mixed
number into
STEP 2 :
improper
fractions
5 x RM5
2
STEP 3:
RM 25 = RM12.50
2