Question

$$\frac{ x-3 }{ 5 } \times \frac{ 10 }{ 7x-21 }$$

Answer

2/7

Solution


Factor out the common term \(7\).
\[\frac{x-3}{5}\times \frac{10}{7(x-3)}\]
Cancel \(x-3\).
\[\frac{1}{5}\times \frac{10}{7}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1\times 10}{5\times 7}\]
Simplify  \(1\times 10\)  to  \(10\).
\[\frac{10}{5\times 7}\]
Simplify  \(5\times 7\)  to  \(35\).
\[\frac{10}{35}\]
Simplify.
\[\frac{2}{7}\]

Decimal Form: 0.285714