Question

Is 3 / 4 divided by bracket 6 / 13 divided by 4 /15 bracket close = bracket 3 / 4 divided by -6 /13 bracket close divide by 4 x 15 are these equal

Answer 1

$$\begin{gathered} \mathrm{LHS}=\frac{3}{4}÷\left[\frac{6}{13}÷\frac{4}{15}\right] \\ =\frac{3}{4}÷\left[\frac{6}{13}\times \frac{15}{4}\right] \\ =\frac{3}{4}÷\left[\frac{45}{26}\right] \\ =\frac{3}{4}\times \frac{26}{45} \\ =\frac{13}{30} \\ \mathrm{RHS}=\left[\frac{3}{4}÷\frac{6}{13}\right]÷\frac{4}{15} \\ =\left[\frac{3}{4}\times \frac{13}{6}\right]÷\frac{4}{15} \\ =\frac{13}{8}\times \frac{15}{4} \\ =\frac{195}{32} \\ \mathrm{So},\mathrm{LHS}\ne \mathrm{RHS} \end{gathered}$$