Реши задание на изображении

Вот подробное решение:

1. \(\frac79-\frac56\cdot\frac4{15}\)

\(\frac56\cdot\frac4{15}=\frac{20}{90}=\frac29\)

\(\frac79-\frac29=\frac59\)

Ответ: \(\frac59\)

2. \(\left(\frac23-\frac49\right)\cdot\frac38\)

\(\frac23=\frac69,\quad \frac69-\frac49=\frac29\)

\(\frac29\cdot\frac38=\frac6{72}=\frac1{12}\)

Ответ: \(\frac1{12}\)

3. \(\frac27+\frac38:\frac7{32}\)

\(\frac38:\frac7{32}=\frac38\cdot\frac{32}{7}=\frac{12}{7}\)

\(\frac27+\frac{12}{7}=\frac{14}{7}=2\)

Ответ: \(2\)

4. \(\frac59:\left(\frac79+\frac{11}{18}\right)\)

\(\frac79=\frac{14}{18},\quad \frac{14}{18}+\frac{11}{18}=\frac{25}{18}\)

\(\frac59:\frac{25}{18}=\frac59\cdot\frac{18}{25}=\frac25\)

Ответ: \(\frac25\)

5. \(1-\frac47:\frac{16}{21}\)

\(\frac47:\frac{16}{21}=\frac47\cdot\frac{21}{16}=\frac34\)

\(1-\frac34=\frac14\)

Ответ: \(\frac14\)

6. \(\frac5{12}\cdot\left(\frac15+\frac3{25}\right)\)

\(\frac15=\frac5{25},\quad \frac5{25}+\frac3{25}=\frac8{25}\)

\(\frac5{12}\cdot\frac8{25}=\frac{40}{300}=\frac2{15}\)

Ответ: \(\frac2{15}\)

7. \(\frac9{14}\cdot\left(\frac{17}{24}-\frac5{12}\right)\)

\(\frac5{12}=\frac{10}{24},\quad \frac{17}{24}-\frac{10}{24}=\frac7{24}\)

\(\frac9{14}\cdot\frac7{24}=\frac{63}{336}=\frac3{16}\)

Ответ: \(\frac3{16}\)

8. \(\frac{24}{49}:\frac67+\frac1{14}\)

\(\frac{24}{49}:\frac67=\frac{24}{49}\cdot\frac76=\frac47\)

\(\frac47+\frac1{14}=\frac8{14}+\frac1{14}=\frac9{14}\)

Ответ: \(\frac9{14}\)