Question

$$\frac{ 1/8x }{ 136 \times 88888 } 1/2/3/4/5/6/7/8/9/$$

Answer

x/96710144*1/362880

Solution


Simplify  \(\frac{1}{8}x\)  to  \(\frac{x}{8}\).
\[\frac{\frac{x}{8}}{136\times 88888}\times \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{\frac{9}{}}\]
Simplify  \(136\times 88888\)  to  \(12088768\).
\[\frac{\frac{x}{8}}{12088768}\times \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{\frac{9}{}}\]
Simplify  \(\frac{\frac{x}{8}}{12088768}\)  to  \(\frac{x}{8\times 12088768}\).
\[\frac{x}{8\times 12088768}\times \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{\frac{9}{}}\]
Simplify  \(8\times 12088768\)  to  \(96710144\).
\[\frac{x}{96710144}\times \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{\frac{9}{}}\]
Simplify  \(\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{\frac{9}{}}\)  to  \(\frac{1}{2\times 3\times 4\times 5\times 6\times 7\times 8\times \frac{9}{}}\).
\[\frac{x}{96710144}\times \frac{1}{2\times 3\times 4\times 5\times 6\times 7\times 8\times \frac{9}{}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{x}{96710144}\times \frac{1}{2\times 3\times 4\times 5\times 6\times 7\times 8\times 9}\]
Simplify  \(2\times 3\)  to  \(6\).
\[\frac{x}{96710144}\times \frac{1}{6\times 4\times 5\times 6\times 7\times 8\times 9}\]
Simplify  \(6\times 4\)  to  \(24\).
\[\frac{x}{96710144}\times \frac{1}{24\times 5\times 6\times 7\times 8\times 9}\]
Simplify  \(24\times 5\)  to  \(120\).
\[\frac{x}{96710144}\times \frac{1}{120\times 6\times 7\times 8\times 9}\]
Simplify  \(120\times 6\)  to  \(720\).
\[\frac{x}{96710144}\times \frac{1}{720\times 7\times 8\times 9}\]
Simplify  \(720\times 7\)  to  \(5040\).
\[\frac{x}{96710144}\times \frac{1}{5040\times 8\times 9}\]
Simplify  \(5040\times 8\)  to  \(40320\).
\[\frac{x}{96710144}\times \frac{1}{40320\times 9}\]
Simplify  \(40320\times 9\)  to  \(362880\).
\[\frac{x}{96710144}\times \frac{1}{362880}\]