Question

$$\frac{ 4 }{ 5 } \frac{ \times }{ } \frac{ 3 }{ 7 }$$

Answer

(12*)/35

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{4\times 3}{5\times 7}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{4{}^{2}\times 3}{5\times 7}\]
Simplify  \(4{}^{2}\times 3\)  to  \(12{}^{2}\).
\[\frac{12{}^{2}}{5\times 7}\]
Simplify.
\[\frac{12}{5\times 7}\]
Simplify  \(5\times 7\)  to  \(35\).
\[\frac{12}{35}\]