Question

$$\frac{ 7 }{ 20 } \frac{ \times }{ } \frac{ 5 }{ 11 }$$

Answer

(35*)/220

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{7\times 5}{20\times 11}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{7{}^{2}\times 5}{20\times 11}\]
Simplify  \(7{}^{2}\times 5\)  to  \(35{}^{2}\).
\[\frac{35{}^{2}}{20\times 11}\]
Simplify.
\[\frac{35}{20\times 11}\]
Simplify  \(20\times 11\)  to  \(220\).
\[\frac{35}{220}\]