\( \frac { 3 \frac { 1 } { 3 } \cdot 1,9 + 19,5 : 4 \frac { 1 } { 2 } } { \frac { 62 } { 75 } - 0,16 } : \frac { 3,5 + 4 \frac { 2 } { 3 } + 2 \frac { 2 } { 15 } } { 0,5 ( 1 \frac { 1 } { 20 } + 4,1 ) } . \)

Berilgan ifodani quyidagicha hisoblaymiz: \[ \frac{3 \frac{1}{3} \cdot 1{,}9 + 19{,}5 \div 4 \frac{1}{2}}{\frac{62}{75} - 0{,}16} \div \frac{3{,}5 + 4 \frac{2}{3} + 2 \frac{2}{15}}{0{,}5 \left(1 \frac{1}{20} + 4{,}1\right)} \] **1-qadam:** Ichki qisimlarni hisoblash. - \(3 \frac{1}{3} = \frac{10}{3}\) - \(4 \frac{1}{2} = \frac{9}{2}\) - \(1 \frac{1}{20} = \frac{21}{20}\) **2-qadam:** Hisoblashlarni davom ettiramiz. \[ \frac{10}{3} \cdot 1{,}9 + \frac{19{,}5}{\frac{9}{2}} = \frac{10}{3} \cdot \frac{19}{10} + \frac{39}{2} \cdot \frac{2}{9} = \frac{19}{3} + \frac{39}{9} = \frac{19}{3} + \frac{13}{3} = \frac{32}{3} \approx 10{,}666... \] \[ \frac{62}{75} - 0{,}16 = \frac{62}{75} - \frac{16}{100} = \frac{62}{75} - \frac{4}{25} = \frac{62}{75} - \frac{12}{75} = \frac{50}{75} = \frac{2}{3} \approx 0{,}666... \] \[ \frac{32}{3} \div \frac{2}{3} = \frac{32}{3} \cdot \frac{3}{2} = 16 \] **3-qadam:** Ikkinchi qismni hisoblash. \[ 3{,}5 + 4 \frac{2}{3} + 2 \frac{2}{15} = 3{,}5 + 4{,}666... + 2{,}133... \approx 10{,}3 \] \[ 1 \frac{1}{20} + 4{,}1 = 1{,}05 + 4{,}1 = 5{,}15 \] \[ 0{,}5 \cdot 5{,}15 = 2{,}575 \] \[ \frac{10{,}3}{2{,}575} \approx 4 \] **4-qadam:** Yakuniy hisoblash. \[ 16 \div 4 = 4 \] **Natija:** Ifodaning qiymati **4** ga teng.