How do you simplify (1-2i)/(3-4i)? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane 1 Answer Richard Mar 9, 2018 (-2i+11)/25 Explanation: Multiply by the conjugate of (3+4i)/(3+4i) to cancel out the imaginary numbers in the denominator. Also remember that i^2 is equal to -1. =(1-2i)/(3-4i) * (3+4i)/(3+4i) =(3+4i-6i-8i^2)/(9+12i-12i-16i^2) =(-2i+3-8(-1))/(9-16(-1)) =(-2i+11)/25 Answer link Related questions What is the complex number plane? Which vectors define the complex number plane? What is the modulus of a complex number? How do I graph the complex number 3+4i in the complex plane? How do I graph the complex number 2-3i in the complex plane? How do I graph the complex number -4+2i in the complex plane? How do I graph the number 3 in the complex number plane? How do I graph the number 4i in the complex number plane? How do I use graphing in the complex plane to add 2+4i and 5+3i? How do I use graphing in the complex plane to subtract 3+4i from -2+2i? See all questions in Complex Number Plane Impact of this question 3066 views around the world You can reuse this answer Creative Commons License