Question

What is the solution to this problem: (4/9)/(2/3)/(5/6)

Answer 1

(4/9)/(2/3)/(5/6)

First, invert and multiply. / Your problem should look like: $\frac{4}{9} \\ \frac{2}{3}$ × $\frac{6}{5}$ 
Second, invert and multiply. / Your problem should look like: $\frac{4}{9}$ × $\frac{3}{2}$ × $\frac{6}{5}$ 
Third, apply this rule: $\frac{a}{b}$ × $\frac{c}{d}$ . / Your problem should look like: $\frac{4 x 3 x 6}{9 x 2 x 5}$ 
Fourth, simplify 4 × 3 × 6 to 72. / Your problem should look like: $\frac{72}{9x2x5}$
Fifth, simplify 9 × 2 × 5 to 90. / Your problem should look like: $\frac{72}{90}$
Sixth, simplify. / Your problem should look like: $\frac{4}{5}$

Original answer: $\frac{4}{5}$
Answer as decimal: 0.8