Question

Question 110

Find the value of $\frac{(0.2\times 0.14)+(0.5\times 0.91)}{(0.1\times 0.2)}.$

Answer 1

Given , $\frac{(0.2\times 0.14)+(0.5\times 0.91)}{(0.1\times 0.2)}.\because 0.2=\frac{2}{10},0.14=\frac{14}{100}and0.5=\frac{5}{10}0.91=\frac{91}{100},0.1=\frac{1}{10}and0.2=\frac{2}{10}\therefore \frac{(0.2\times 0.14)+(0.5\times 0.91)}{(0.1\times 0.2)}=\frac{(\frac{2}{10}\times \frac{14}{100})+(\frac{5}{10}\times \frac{91}{100})}{(\frac{1}{10}\times \frac{2}{10})}=\frac{\frac{28}{1000}+\frac{455}{1000}}{\frac{2}{100}}=\frac{\frac{28+455}{1000}}{\frac{2}{100}}=\frac{\frac{483}{1000}}{\frac{2}{100}}=\frac{483}{1000}\times \frac{100}{2}\frac{483}{10\times 2}=\frac{241.5}{10}=24.15$