Question

$$\frac{ 7////5 }{ 2/////3 }$$

Answer

42/5

Solution


Use this rule: \(a\div \frac{b}{c}=a\times \frac{c}{b}\).
\[7\div \div \frac{5}{2\times 1\times 3}\]
Simplify  \(2\times 1\)  to  \(2\).
\[7\div \div \frac{5}{2\times 3}\]
Simplify  \(2\times 3\)  to  \(6\).
\[7\div \div \frac{5}{6}\]
Use this rule: \(a\div \frac{b}{c}=a\times \frac{c}{b}\).
\[7\times 1\times \frac{6}{5}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{7\times 1\times 6}{5}\]
Simplify  \(7\times 1\)  to  \(7\).
\[\frac{7\times 6}{5}\]
Simplify  \(7\times 6\)  to  \(42\).
\[\frac{42}{5}\]

Decimal Form: 8.4