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Transcript
MULTIPLYING FRACTIONS AND MIXED NUMBERS
To multiply fractions:
EXAMPLE ONE:
1. Multiply numerators.
2. Multiply denominators.
3. Reduce if possible
OR
1. Reduce first by cross
cancelling- divide numbers
on the diagonals by common
factors.
2. Multiply numerators.
2
3
3
8
x
6
24
=
EXAMPLE TWO:
1
4
=
x
7
9
=
35
54
______________________________________________
EXAPMPLE ONE:
2
3
X
3
8
1
(cross cancel)
2
3
=
1
X
1
EXAMPLE TWO:
3. Multiply denominators.
4
7
To multiply mixed
numbers:
EXAMPLE ONE:
1. Change to improper
fractions.
3
2. Cross cancel (reduce
first).
EXAMPLE TWO:
3. Multiply numerators.
2
X
3
10
3
8
=
4
1
4
2
(cross cancel)
4
7
=
X
3
10
=
6
35
5
1
4
5
X
1
2
3
=
19
5
5
3
=
19
3
17
6
=
51
3
=6
8
8
X
=
6
1
3
1
3
4. Multiply denominators.
5. Change back to a mixed
number.
5
6
1
4
X
2
5
6
=
9
4
X
2
EXAMPLE THREE:
2
4
3
5
X
10
11
=
23
5
1
X
10
11
=
46
11
=
4
2
11
DIVIDING FRACTIONS AND MIXED NUMBERS
To divide fractions,
multiply by the reciprocal.
Reciprocal of
2
3
is
3
2
Reciprocal of 5 is
Reciprocal of
1
8
is
8
1
Reciprocal of
1. Keep the first fraction
the same.
2. Change the division sign
to multiplication.
3. Take the reciprocal
(flip) of the second
fraction.
EXAMPLE ONE:
2
3
÷
3
4
4
5
X
4
3
=
2
9
2
15
÷
2
2
3
is
EXAMPLE TWO:
4. Cross cancel if possible.
5. Multiply (follow
multiplication rules).
9
2
1
5
8
9
4
5
3
X
1
15
2
1
=
6
=6
1
To divide mixed numbers:
1. Change the mixed
number to improper
fractions.
EXAMPLE ONE:
3
2. Follow steps above.
1 3
÷
=
2 5
7 3
÷ =
2 5
5
7
X =
3
2
35
5
=5
6
6
EXAMPLE TWO:
2
3
1
÷1 =
8
3
19 4
19
57 25
3
÷ =
X =
=1
8
8
32 32
3
4
EXAMPLE THREE:
7
5
1
÷3=
4
21 3
÷ =
4
1
21 1
X =
3
4
1
7
3
=1
4 4