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=945 * ( 238 + 1 ) - 1
944 + 945 * 238
=945 * 238 + 238
944 + 945 * 238
=1
\(\frac{\left(238+1\right)\cdot945-1}{945\cdot238+944}=\frac{238\cdot945+945-1}{945\cdot238+944}=\frac{945\cdot238+944}{945\cdot238+944}=1\)
\(=\frac{945x239-1}{944+945x\left(239-1\right)}=\frac{945x239-1}{944+945x239-945}=\frac{945x239-1}{945x239-1}=1\)
\(=\frac{945.\left(328+1\right)-1}{\left(945-1\right)+945.328}\)
\(=\frac{945.328+\left(945-1\right)}{\left(945-1\right)+945.328}=1\)
\(9,65\times0,4\times0,25\)
\(=\)\(9,65\times\left(0,4\times0,25\right)\)
\(=\)\(9,65\times0,1\)
\(=\)\(0,965\)
\(0,25\times40\times9,84\)
\(=\)\(\left(0,25\times40\right)\times9,84\)
\(=\)\(10\times9,84\)
\(=\)\(98,4\)
a; \(\dfrac{21}{11}\) x \(\dfrac{22}{17}\) x \(\dfrac{68}{63}\)
= \(\dfrac{21\times11\times2\times17\times4}{11\times17\times21\times3}\)
= \(\dfrac{11\times17\times21}{11\times17\times21}\) x \(\dfrac{2\times4}{3}\)
= 1 x \(\dfrac{8}{3}\)
= \(\dfrac{8}{3}\)
b; \(\dfrac{5}{14}\) \(\times\) \(\dfrac{7}{13}\) x \(\dfrac{26}{25}\)
= \(\dfrac{5\times7\times2\times13}{7\times2\times13\times5\times5}\)
= \(\dfrac{5\times7\times2\times13}{5\times7\times2\times13}\) x \(\dfrac{1}{5}\)
= 1 x \(\dfrac{1}{5}\)
= \(\dfrac{1}{5}\)
5,6 x 2 + 2,8 x 8 +11,2 x 2 - 50,4
= 5,6 x 2 + (2,8 x 2) x 4+ (11,2:2) x (2 x 2) - 50,4
= 5,6 x 2 + 5,6 x 4+ 5,6 x 4 - 5,6 x 9
= 5,6 x (2+4+4-9)
= 5,6 x 1= 5,6