Question

Вычислите: 0,(36) 11/4 +0,3(11) × 1 1/4​

Answer 1

$0,(36)=\frac{36}{99}=\frac{4}{11}\\\\0,3(11)=\frac{311-3}{990}=\frac{308}{990}=\frac{14}{45}\\\\0,(36)*\frac{11}{4}+0,3(11)*1\frac{1}{4}=\frac{4}{11}*\frac{11}{4}+\frac{14}{45}*\frac{5}{4}=1+\frac{7}{18}=1\frac{7}{18}$