1. Unit 2. Day 16.

2. Complex
Fraction
3 4 3
7 8 7

3. Example A: Simplify the complex fraction
3 4
3 4 ÷
7 8
7 8
3 4
∙ 8 7
24 28
2∙2∙2∙3 2∙2∙7 =
7 8
∙ 8 7 1
3 4
8 7 24
2∙2∙2∙3 ∙ = =
6 7 = 28
2∙2∙7
6 7 =

4. Example B*: Simplify the complex fraction
2 5
2 5 ÷
7 15
7 15
2 5
∙ 15 7
30 35
2∙3∙5 5∙7
6 7 = =
7 15
∙ 15 7 1
2 5
15 7 30
2∙3∙5 ∙ = =
5∙7 35
6 7 =

5. ÷ ∙ Example C: Simplify the complex fraction − 1 3 − 1 3 6 − 6 3 5
6 − 6 3 5
1 2 −
1 2 − 5 6
− 2 6
− 1 3 = = = ÷
11 12
11 12 9 2
11 12 = =
− 1 3
∙ 12 11
− 12 33
− 2∙2∙3 3∙11 =
11 12
∙ 12 11 1
− 1 3
12 11 12
2∙2∙3 ∙ = − = − 33
3∙11
− 4 11
− 4 11 = =

6. ÷ ∙ Example D*: Simplify the complex fraction 1 6 1 6
2 3 − − 7 12
2 3 − 1 2
6 − 6 4 3
1 6 = = = ÷
1 4 − 7 12
− 1 3
− 1 3
12 − 12 3 7
− 4 12
− 1 3 = =
1 6
∙ −3 1
− 3 6
− ∙3 2∙3
− 1 2 = =
1 6
− 3 1 3
− 3 2∙3
− 1 2
− 1 3
∙ −3 1 1 ∙ = − = = 6

7. ÷ ∙ Example E: Simplify the complex fraction 16 9 16 9 14 3 − 26 9 42
4 2 3 − ÷ 10 11
9 − 9
16 9 = = = ÷
5 1 ÷ 10 11
11 2
11 2
5 1 ∙ 11 10
11 2
55 10 = =
16 9
∙ 2 11
32 99
2∙2∙2∙2∙2 3∙3∙11 =
16 9
2 11 32
2∙2∙2∙2∙2 3∙3∙11
11 2
∙ 2 11 1 ∙ = = 99
32 99 =
32 99 =

8. ÷ ∙ Example F: Simplify the complex fraction 4 1 ∙ 3 7 12 7 12 7
4∙ − 11 12
12 7 = = ÷
1 8 − 11 12
− 19 24
− 19 24
24 − 24 3 22
− 19 24 = =
12 7
∙− 24 19 − − =
12 7
− 24 19
288
− 19 24
∙− 24 19 ∙ = − 1
133