1.015. Вычислите: \(\dfrac{(1,88+2\frac{3}{25})\cdot\frac{3}{16}}{0,625-\frac{13}{18}:\frac{26}{9}}+\dfrac{(\frac{0,216}{0,15}+0,56):0,5}{(7,7:24\frac{3}{4}+\frac{2}{15})\cdot4,5}\).

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Вопрос:

Accepted Answer

Вычислим первую дробь:

\[1.88+2\frac{3}{25}=1.88+2.12=4.\]

\[4\cdot\frac{3}{16}=\frac{3}{4}.\]

\[0.625-\frac{13}{18}:\frac{26}{9}=\frac{5}{8}-\frac{13}{18}\cdot\frac{9}{26}=\frac{5}{8}-\frac{1}{4}=\frac{3}{8}.\]

\[\frac{3}{4}:\frac{3}{8}=2.\]

Вычислим вторую дробь:

\[\left(\frac{0.216}{0.15}+0.56\right):0.5=(1.44+0.56):0.5=2:0.5=4.\]

\[\left(7.7:24\frac{3}{4}+\frac{2}{15}\right)\cdot4.5=\left(\frac{77}{10}:\frac{99}{4}+\frac{2}{15}\right)\cdot\frac{9}{2}.\]

\[=\left(\frac{14}{45}+\frac{6}{45}\right)\cdot\frac{9}{2}=\frac{4}{9}\cdot\frac{9}{2}=2.\]

\[4:2=2.\]

\[2+2=4.\]

Ответ: 4.