Question

This statement is true or false

$\frac{8}{15} \div \frac{7}{8} = \frac{7}{8} \div \frac{8}{15}$
​

Answer 1

$LHS = \frac{8}{15} \div \frac{7}{8} = \frac{7}{8} \div \frac{8}{15} = RHS$

$LHS = \frac{8}{15} \times \frac{8}{7} = \frac{7}{8} \times \frac{15}{8} = RHS$

$LHS = \frac{64}{105} = \frac{105}{64} = RHS$

$\because LHS ≠ RSH$

$\therefore \: This \: statement \: is \: not \: True$

Answer 2

$LHS = \frac{8}{15} \div \frac{7}{8} = \frac{7}{8} \div \frac{8}{15} = RHS$

$LHS = \frac{8}{15} \times \frac{8}{7} = \frac{7}{8} \times \frac{15}{8} = RHS$

$LHS = \frac{64}{105} = \frac{105}{64} = RHS$