$5 \cdot \frac{3 + 6 i}{8 + 6 i} = \frac{15 i + 30}{10}$

Explanation

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$5 \cdot \frac{3 + 6 i}{8 + 6 i} \overset{◯}{1} 5 \cdot \frac{6 + 3 i}{10} \overset{◯}{2} \frac{15 i + 30}{10}$
①	Divide $3 + 6 i$ by $8 + 6 i$ to get $\frac{6 + 3 i}{10}$ . ( view steps )
②	Multiply $5$ by $\frac{6 + 3 i}{10}$ to get $\frac{15 i + 30}{10}$ . Step 1: Write $5$ as a fraction by putting $1$ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $5 \cdot \frac{6 + 3 i}{10} Step 1 \frac{5}{1} \cdot \frac{6 + 3 i}{10} Step 2 \frac{5 \cdot ( 6 + 3 i )}{1 \cdot 10} = Step 3 \frac{30 + 15 i}{10} = \frac{15 i + 30}{10}$

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5⋅8+6i3+6i​=1015i+30​

$5 \cdot \frac{3 + 6 i}{8 + 6 i} = \frac{15 i + 30}{10}$