Question

Simplify (3/4 + 4/5i)-(1/2 - 3/10i)

Answer 1

For this case we must simplify the following expression:

`(\frac {3} {4} + \frac {4} {5} i) - (\frac {1} {2} - \frac {3} {10} i) =`

By law of multiplication signs we have to:

`- * + = -\\- * - = +\\\frac {3} {4} + \frac {4} {5} i- \frac {1} {2} + \frac {3} {10} i =`

We add similar terms:

`\frac {3} {4} - \frac {1} {2} + \frac {4} {5} i + \frac {3} {10} i =\\\frac {3 * 2-4 * 1} {4 * 2} + \frac {4 * 10 + 5 * 3} {10 * 5} i =\\\frac {2} {8} + \frac {55} {50} i =`

We simplify:

`(1)/(4)+(11)/(10)i`

Answer:

`(1)/(4)+(11)/(10)i`