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Ta có:
\(\frac{945x239-1}{944+945x238}=\frac{945.\left(238+1\right)-1}{944+945x238}\)
\(=\frac{945x238+945-1}{944+945x238}\)
\(=\frac{945x238+944}{944+945x238}=1\)
\(=\frac{945.\left(328+1\right)-1}{\left(945-1\right)+945.328}\)
\(=\frac{945.328+\left(945-1\right)}{\left(945-1\right)+945.328}=1\)
\(=\dfrac{945\cdot238+945-1}{945-1+945\cdot328}=1\)
\(1\frac{1}{2}x1\frac{1}{3}:1\frac{1}{4}:1\frac{1}{5}\)
\(=\frac{3}{2}x\frac{4}{3}:\frac{5}{4}:\frac{6}{5}\)
\(=\frac{3}{2}x\frac{4}{3}x\frac{4}{5}x\frac{5}{6}\)
\(=\frac{4x4}{2x6}=\frac{2x2x4}{2x2x3}=\frac{4}{3}\)
\(1\frac{1}{2}\times1\frac{1}{3}\div1\frac{1}{4}\div1\frac{1}{5}=\frac{3}{2}\times\frac{4}{3}\div\frac{5}{4}\div\frac{6}{5}=\frac{3}{2}\times\frac{4}{3}\times\frac{4}{5}\times\frac{5}{6}\)
\(=\frac{3\times4\times4\times5}{2\times3\times5\times6}=\frac{4}{3}\)
\(\frac{945x239-1}{944+945x238}\)
=\(\frac{945x\left(238+1\right)-1}{944+945x238}\)
=\(\frac{\left(945x238\right)945-1}{944+945x238}\)
=\(\frac{\left(945x238\right)+944}{944+945x238}\)=1