5/4-3i
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To evaluate the expression 5/4-3i, we need to simplify it.
First, let's rewrite the expression in the form of a complex number. To do this, we need to combine the real and imaginary parts:
5/4 - 3i can be expressed as (5/4) + (-3i).
Now, let's simplify the expression by multiplying the numerator and denominator of 5/4 by the conjugate of the denominator. The conjugate of 4 is also 4, so we multiply both the numerator and denominator by 4:
((5/4)*(4))/(4) - 3i*(4)/(4)
Simplifying further:
(5*4)/(4*4) - (12i)/(4)
20/16 - 3i/4
Now, let's simplify the fractions:
20/16 can be reduced to 5/4 because both the numerator and denominator are divisible by 4.
Therefore, the simplified expression is:
5/4 - 3i/4