Finite Math Examples

$21$ , $150 (1 + (101) (\frac{5}{6}))$

Step 1

Multiply $(101) (\frac{5}{6})$ .

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Step 1.1

Combine $101$ and $\frac{5}{6}$ .

$21, 150 (1 + \frac{101 \cdot 5}{6})$

Step 1.2

Multiply $101$ by $5$ .

$21, 150 (1 + \frac{505}{6})$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$21, 150 (\frac{6}{6} + \frac{505}{6})$

Step 2.2

Combine the numerators over the common denominator.

$21, 150 (\frac{6 + 505}{6})$

Step 2.3

Add $6$ and $505$ .

$21, 150 (\frac{511}{6})$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Factor $6$ out of $150$ .

$21, 6 (25) (\frac{511}{6})$

Step 3.2

Cancel the common factor.

$21, 6 \cdot (25 (\frac{511}{6}))$

Step 3.3

Rewrite the expression.

$21, 25 \cdot 511$

Step 4

Multiply $25$ by $511$ .

$21, 12775$

Step 5

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

$\frac{21 + 12775}{2}$

Step 6

Add $21$ and $12775$ .

$\frac{12796}{2}$

Step 7

Divide $12796$ by $2$ .

$6398$