The document provides steps for multiplying fractions. It shows: 1) Multiplying 2/3 by 7/16 by finding a common factor of 2 in the denominators and simplifying to get 7/24. 2) Multiplying 1 3/4 by 2 1/2 by first converting to improper fractions, then multiplying numerators and denominators to get 35/8. 3) Converting the final fraction 35/8 to a mixed number of 4 3/8.

1. Multiplying Fractions

2. Multiply. Make sure to fully simplify your
answer.
2
3
∙
7
16

3. Multiply. Make sure to fully simplify your
answer.
2
3
∙
7
16
=
2
3
∙
7
16
2 and 16 have a
common factor of 2.
1
8

4. Multiply. Make sure to fully simplify your
answer.
2
3
∙
7
16
=
2
3
∙
7
16
=
1 ∙ 7
3 ∙ 8
1
8

5. Multiply. Make sure to fully simplify your
answer.
2
3
∙
7
16
=
2
3
∙
7
16
=
1 ∙ 7
3 ∙ 8
=
7
24
1
8

6. Multiply. Make sure to fully simplify your
answer.
1
3
4
∙ 2
1
2

7. Multiply. Make sure to fully simplify your
answer.
1
3
4
∙ 2
1
2
=
1 ∙ 4 + 3
4
∙
2 ∙ 2 + 1
2
First, convert the mixed
numbers to improper fractions.

8. Multiply. Make sure to fully simplify your
answer.
1
3
4
∙ 2
1
2
=
1 ∙ 4 + 3
4
∙
2 ∙ 2 + 1
2
=
7
4
∙
5
2

9. Multiply. Make sure to fully simplify your
answer.
1
3
4
∙ 2
1
2
=
1 ∙ 4 + 3
4
∙
2 ∙ 2 + 1
2
=
7
4
∙
5
2
=
7 ∙ 5
4 ∙ 2
There are no
common
factors.

10. Multiply. Make sure to fully simplify your
answer.
1
3
4
∙ 2
1
2
=
1 ∙ 4 + 3
4
∙
2 ∙ 2 + 1
2
=
7
4
∙
5
2
=
7 ∙ 5
4 ∙ 2
=
35
8

11. Multiply. Make sure to fully simplify your
answer.
35
8
The last step is to
convert back to a
mixed number
35 ÷ 8 = 4 𝑤𝑖𝑡ℎ 𝑅 = 3

12. Multiply. Make sure to fully simplify your
answer.
35
8
35 ÷ 8 = 4 𝑤𝑖𝑡ℎ 𝑅 = 3
35
8
= 4
3
8