Unit 2. Day 16.

Complex Fraction 3 4 3 7 8 7

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 =

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 =

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

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

÷ ∙ Example E: Simplify the complex fraction 16 9 16 9 14 3 − 26 9 42 4 2 3 −2 8 9 5÷ 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 =

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