Ответ:
а) \(2,3+5,8=8,1\), \(3\frac57=\frac{26}{7}\), \(4,9-2,3=2,6\).
\[\frac{8,1\cdot\frac{26}{7}}{2,6:\frac79}=\frac{\frac{81}{10}\cdot\frac{26}{7}}{\frac{13}{5}\cdot\frac97}=\frac{2106}{910}\cdot\frac{35}{117}=\frac{9}{13}.\]
б) \(\frac18:\frac5{16}=\frac25\), \(2,25\cdot0,8=1,8\), поэтому числитель равен \(\frac25+1,8=2,2\).
\[2\frac1{48}-1\frac{55}{72}=\frac{97}{48}-\frac{127}{72}=\frac{291-254}{144}=\frac{37}{144}.\]
\[3\frac1{12}=\frac{37}{12},\qquad \left(\frac{37}{144}:\frac{37}{12}\right)=\frac1{12}.\]
\[\frac{2,2}{1/12}+3\frac35=26,4+3,6=30.\]
в) \(0,21\cdot1,25=0,2625\), \(13,6-11,1=2,5\).
\[0,2625:2,5=0,105.\]
г) \(2,781:2,06=1,35\), \(7,825:3,13=2,5\).
\[1,35+2,5=3,85.\]
Ответ: а) \(\frac9{13}\); б) \(30\); в) \(0,105\); г) \(3,85\).
