Задание 6. Найдите значение выражения: 1) 0,9/(1+1/5); 2) 2,6/(1−1/14); 3) 1,3/(1+1/12); 4) 1,2/(1−1/3); 5) 0,6/(1+1/2); 6) 0,8/(1−1/9).

1. \(\dfrac{0.9}{1+\frac15}=\dfrac{0.9}{\frac65}=0.9\cdot\frac56=0.75\).
2. \(\dfrac{2.6}{1-\frac1{14}}=\dfrac{2.6}{\frac{13}{14}}=2.6\cdot\frac{14}{13}=2.8\).
3. \(\dfrac{1.3}{1+\frac1{12}}=\dfrac{1.3}{\frac{13}{12}}=1.3\cdot\frac{12}{13}=1.2\).
4. \(\dfrac{1.2}{1-\frac13}=\dfrac{1.2}{\frac23}=1.2\cdot\frac32=1.8\).
5. \(\dfrac{0.6}{1+\frac12}=\dfrac{0.6}{\frac32}=0.6\cdot\frac23=0.4\).
6. \(\dfrac{0.8}{1-\frac19}=\dfrac{0.8}{\frac89}=0.8\cdot\frac98=0.9\).

Ответ: 1) 0,75; 2) 2,8; 3) 1,2; 4) 1,8; 5) 0,4; 6) 0,9.