Ответ:
\[\left(1\frac{11}{24}+\frac{13}{36}\right)\cdot1.44-\frac{8}{15}\cdot0.5625\]
\[1\frac{11}{24}=\frac{35}{24},\qquad 1.44=\frac{36}{25},\qquad 0.5625=\frac{9}{16}.\]
\[\left(\frac{35}{24}+\frac{13}{36}\right)\cdot\frac{36}{25}-\frac{8}{15}\cdot\frac{9}{16}\]
\[\left(\frac{105}{72}+\frac{26}{72}\right)\cdot\frac{36}{25}-\frac{3}{10}=\frac{131}{72}\cdot\frac{36}{25}-\frac{3}{10}\]
\[\frac{131}{50}-\frac{15}{50}=\frac{116}{50}=\frac{58}{25}=2.32.\]
Ответ: 2,32.
