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Express each of the complex number in the form a+ib. (6) (1/5+i2/5)-(4+i5/2)

Express each of the complex number in the form  a+ib .

Q : 6    \left ( \frac{1}{5}+i\frac{2}{5} \right )-\left ( 4+i\frac{5}{2} \right )

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Given problem is 
\left ( \frac{1}{5}+i\frac{2}{5} \right )-\left ( 4+i\frac{5}{2} \right )
Now, we will reduce it into

\left ( \frac{1}{5}+i\frac{2}{5} \right )-\left ( 4+i\frac{5}{2} \right ) = \frac{1}{5}+i\frac{2}{5}-4-i\frac{5}{2}  
                                                  = \frac{1-20}{5}+i\frac{(4-25)}{10}
                                                  = -\frac{19}{5}-i\frac{21}{10}                           

Therefore, the answer is  -\frac{19}{5}-i\frac{21}{10}

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