**multiplying fractions**

STEP 1

MULTIPLY THE NUMERATORS

2

---

3

*

4

---

5

=

2*4=8

8

STEP 2

multiply the denominators

2

---

3

*

4

---

5

=

3*5=15

15

STEP 3

SIMPLIFY IF NEEDED

2

---

3

*

4

---

5

=

8

---

15

DOES NOT NEED

SIMPLIFY

MULTIPLY FRACTIONS

MULTIPLY MIXED NUMBERS

STEP 1

1

5

---

6

*

3

---

3

=

convert the mixed numbers into improper fractions

11

---

6

*

STEP TWO

10

---

multiply the

fractions like before

then convert into mixed number and simplify if needed

STEP 3

multiply a mixed number by

a fraction

STEP 2

STEP 1

STEP 3

11

---

6

*

10

---

3

110

---

110

----

=

18

1

3

18

examples

3

---

6

*

7

---

8

=

21

---

48

21

---

48

3

3

7

---

16

=

answer

-----------------------------------------------------------

1

---

6

*

5

---

7

=

5

---

42

answer

------------------------------------------------------

6

2

---

18

=

6

1

---

9

answer

examples

3

5

---

6

23

----

6

*

2

2

---

3

*

8

---

3

=

184

------

18

184

------

18

=

10

4

---

18

2

=

10

2

---

9

turn the mixed number into an improper fraction.

2

6

---

7

=

20

---

7

2

---

4

2

---

4

=

multiply like normal

20

---

7

2

---

4

*

=

40

----

28

4

=

40

----

28

then simplify

10

---

7

multiply three fractions

STEP 1

multiply the numerators and the denominators

2

---

4

*

*

4

---

5

step 2

simplify your answer

6

---

9

=

48

----

180

24

----

90

48

----

180

48

----

180

2

=

*

*

final answer

examples

multiply a whole number by a fraction

step 1

11

3

---

5

*

add a one to the whole number as the denominator

---

1

=

step 2

multiply like normal

(numerator*numerator)

(denominator * denominator

11

----

1

*

3

---

5

=

33

----

5

step 3

turn into mixed number and simplify

33

----

5

=

6

3

---

5

does not need simplify

3

---

6

*

2

---

7

*

5

---

6

=

30

----

252

30

----

252

=

15

----

126

multiply a whole number by a mixed number

step 1

turn them both into fractions

(add a one to the whole number and turn the mixed number into a improper fraction.

1

3

---

4

2

=

step 2

multiply the numerators and the denominators

2

---

1

=

7

---

4

2

---

1

*

7

---

4

14

----

4

step 3

turn into a mixed number and simplify if needed

14

----

4

=

**3**

2

---

4

=

**3**

1

---

2

=

/

1 and 3/7

/ 2

12

__

45

/

/ 3

4

__

15

/

/

/

x