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=945 * ( 238 + 1 ) - 1
944 + 945 * 238
=945 * 238 + 238
944 + 945 * 238
=1
\(\frac{\left(238+1\right)\cdot945-1}{945\cdot238+944}=\frac{238\cdot945+945-1}{945\cdot238+944}=\frac{945\cdot238+944}{945\cdot238+944}=1\)
\(\frac{945\times239-1}{944+945\times238}\)
\(=\frac{945\times\left(238+1\right)-1}{944+945\times238}\)
\(=\frac{945\times238+945\times1-1}{944+945\times238}\)
\(=\frac{945\times238+944}{944+945\times238}=1\)
\(=\frac{945x239-1}{944+945x\left(239-1\right)}=\frac{945x239-1}{944+945x239-945}=\frac{945x239-1}{945x239-1}=1\)
\(\frac{945x239-1}{944+945x238}\)
=\(\frac{945x\left(238+1\right)-1}{944+945x238}\)
=\(\frac{\left(945x238\right)945-1}{944+945x238}\)
=\(\frac{\left(945x238\right)+944}{944+945x238}\)=1
\(1\frac{1}{2}x1\frac{1}{3}:1\frac{1}{4}:1\frac{1}{5}\)
\(=\frac{3}{2}x\frac{4}{3}:\frac{5}{4}:\frac{6}{5}\)
\(=\frac{3}{2}x\frac{4}{3}x\frac{4}{5}x\frac{5}{6}\)
\(=\frac{4x4}{2x6}=\frac{2x2x4}{2x2x3}=\frac{4}{3}\)
\(1\frac{1}{2}\times1\frac{1}{3}\div1\frac{1}{4}\div1\frac{1}{5}=\frac{3}{2}\times\frac{4}{3}\div\frac{5}{4}\div\frac{6}{5}=\frac{3}{2}\times\frac{4}{3}\times\frac{4}{5}\times\frac{5}{6}\)
\(=\frac{3\times4\times4\times5}{2\times3\times5\times6}=\frac{4}{3}\)
\(17\cdot\frac{3}{4}-17\cdot0,25+17\cdot\frac{1}{2}\)
\(=17\cdot0,75-17\cdot0,25+17\cdot0,5\)
\(=17\cdot\left(0,75-0,25+0,5\right)\)
\(=17\cdot1\)
\(=17\)
\(17\times\frac{3}{4}-17\times0,25+17\times\frac{1}{2}\)\(=17\times\frac{3}{4}-17\times\frac{1}{4}+17\times\frac{1}{2}\)\(=17\times\left(\frac{3}{4}-\frac{1}{4}+\frac{1}{2}\right)\)
\(=17\times\left(1\right)\)\(=17\)
\(=\frac{945.\left(328+1\right)-1}{\left(945-1\right)+945.328}\)
\(=\frac{945.328+\left(945-1\right)}{\left(945-1\right)+945.328}=1\)