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:

$\frac{1}{4}+\frac{11}{10}i$

Answer:

$\frac{1}{4}+\frac{11}{10}i$