If 3(2/5) + 1(2/9) = 4(4/5) - a, find the value of 'a'.

Correct option is C

Given:

​$$3\left( \frac{2}{5} \right) + 1\left( \frac{2}{9} \right) = 4\left( \frac{4}{5} \right) – a$$​​

Solution:

​$$3\left( \frac{2}{5} \right) = \frac{17}{5}\\\ \\1\left( \frac{2}{9} \right) = \frac{11}{9}\\\ \\4\left( \frac{4}{5} \right) = \frac{24}{5}\\\ \\\frac{17}{5} + \frac{11}{9}\\\ \\\frac{17}{5} = \frac{153}{45}, \quad \frac{11}{9} = \frac{55}{45}\\\ \\\frac{153}{45} + \frac{55}{45} = \frac{208}{45}\\\ \\\frac{208}{45} = \frac{24}{5} - a\\\ \\\frac{24}{5} = \frac{216}{45}\\\ \\\frac{208}{45} = \frac{216}{45} - a\\\ \\a = \frac{216}{45} - \frac{208}{45} = \frac{8}{45}\\\ \\Therefore, the value of a is \frac{8}{45}.$$​​