Finite Math Examples

$2 i$ , $- 5$ , $- 6 i$ , $7$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{2 i - 5 - 6 i + 7}{4}$

Step 2

Split the fraction $\frac{2 i - 5 - 6 i + 7}{4}$ into two fractions.

$\frac{2 i - 5 - 6 i}{4} + \frac{7}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 i - 5 - 6 i + 7}{4}$

Step 4

Subtract $6 i$ from $2 i$ .

$\frac{- 5 - 4 i + 7}{4}$

Step 5

Add $- 5$ and $7$ .

$\frac{2 - 4 i}{4}$

Step 6

Cancel the common factor of $2 - 4 i$ and $4$ .

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Step 6.1

Factor $2$ out of $2$ .

$\frac{2 (1) - 4 i}{4}$

Step 6.2

Factor $2$ out of $- 4 i$ .

$\frac{2 (1) + 2 (- 2 i)}{4}$

Step 6.3

Factor $2$ out of $2 (1) + 2 (- 2 i)$ .

$\frac{2 (1 - 2 i)}{4}$

Step 6.4

Cancel the common factors.

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Step 6.4.1

Factor $2$ out of $4$ .

$\frac{2 (1 - 2 i)}{2 \cdot 2}$

Step 6.4.2

Cancel the common factor.

$\frac{2 (1 - 2 i)}{2 \cdot 2}$

Step 6.4.3

Rewrite the expression.

$\frac{1 - 2 i}{2}$

Step 7

Split the fraction $\frac{1 - 2 i}{2}$ into two fractions.

$\frac{1}{2} + \frac{- 2 i}{2}$

Step 8

Cancel the common factor of $- 2$ and $2$ .

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Step 8.1

Factor $2$ out of $- 2 i$ .

$\frac{1}{2} + \frac{2 (- i)}{2}$

Step 8.2

Cancel the common factors.

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Step 8.2.1

Factor $2$ out of $2$ .

$\frac{1}{2} + \frac{2 (- i)}{2 (1)}$

Step 8.2.2

Cancel the common factor.

$\frac{1}{2} + \frac{2 (- i)}{2 \cdot 1}$

Step 8.2.3

Rewrite the expression.

$\frac{1}{2} + \frac{- i}{1}$

Step 8.2.4

Divide $- i$ by $1$ .

$\frac{1}{2} - i$

Step 9

Divide.

$\frac{2 i - 5 - 6 i + 7}{4}$