Question

Please help me solve this! If you could solve my other questions that haven't been solved that would be great!

Answer 1

Answer:

The simplest form of the complex fraction $\frac{\frac{8}{9}}{8}$ is  $\frac{1}{9}$

Step-by-step explanation:

In the complex fractions $\frac{\frac{a}{b}}{c}$ = $\frac{a}{b}$ ÷ c

To simplify it change ÷ to × and reciprocal c

• $\frac{\frac{a}{b}}{c}$ = $\frac{a}{b}$ ÷ c = $\frac{a}{b}$ × $\frac{1}{c}$ = $\frac{a}{bc}$

In the complex fractions $\frac{a}{\frac{b}{c}}$ = a ÷ $\frac{b}{c}$

To simplify it change ÷ to × and reciprocal $\frac{b}{c}$

• $\frac{a}{\frac{b}{c}}$ = a ÷ $\frac{b}{c}$ = a × $\frac{c}{b}$ = $\frac{ac}{b}$

Let us solve the question

∵ The complex fraction is $\frac{\frac{8}{9}}{8}$

∵  $\frac{\frac{8}{9}}{8}$ = $\frac{8}{9}$ ÷ 8

→ Change ÷ to × and reciprocal 8

∴  $\frac{8}{9}$ ÷ 8 =  $\frac{8}{9}$ × $\frac{1}{8}$

→ Cancel 8 up with 8 down

∴  $\frac{8}{9}$ × $\frac{1}{8}$ = $\frac{1}{9}$

∴ The simplest form of the complex fraction $\frac{\frac{8}{9}}{8}$ is  $\frac{1}{9}$