Question

Ex 5 dau 20 de puncte și o coroana

Answer 1

$\left(\frac{\frac{111}{9}}{\frac{37}{18}}-\frac{1}{\frac{1}{6}}\right)\cdot \:1999=-6+\frac{111\cdot \:18}{9\cdot \:37}\cdot \:1999=-6+\frac{1998}{333}\cdot \:1999=-6+6\cdot \:1999=0\cdot \:1999=0$

$b) \frac{\frac{1}{4}+\frac{1}{8}-\frac{1}{16}}{\frac{1}{2}+\frac{1}{3}}==\frac{\frac{1}{4}+\frac{1}{8}-\frac{1}{16}}{\frac{5}{6}}=\frac{\frac{5}{16}}{\frac{5}{6}}=\frac{5\cdot \:6}{16\cdot \:5}=\frac{6}{16}=\frac{3}{8}$

$c)1+\frac{1}{1+\frac{1}{1+\frac{1}{5}}}=\frac{1\cdot \:11}{11}+\frac{6}{11}=\frac{1\cdot \:11+6}{11}=\frac{17}{11}$