Finite Math Examples

$1008$ , $1176$ , $1227$ , $1569$ , $441$ , $1512$ , $531$ , $1152$ , $1077$

Step 1

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

$\frac{1008 + 1176 + 1227 + 1569 + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2

Cancel the common factor of $1008 + 1176 + 1227 + 1569 + 441 + 1512 + 531 + 1152 + 1077$ and $9$ .

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Step 2.1

Factor $3$ out of $1008$ .

$\frac{3 (336) + 1176 + 1227 + 1569 + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2.2

Factor $3$ out of $1176$ .

$\frac{3 \cdot 336 + 3 \cdot 392 + 1227 + 1569 + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2.3

Factor $3$ out of $3 \cdot 336 + 3 \cdot 392$ .

$\frac{3 \cdot (336 + 392) + 1227 + 1569 + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2.4

Factor $3$ out of $1227$ .

$\frac{3 \cdot (336 + 392) + 3 (409) + 1569 + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2.5

Factor $3$ out of $3 \cdot (336 + 392) + 3 (409)$ .

$\frac{3 \cdot (336 + 392 + 409) + 1569 + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2.6

Factor $3$ out of $1569$ .

$\frac{3 \cdot (336 + 392 + 409) + 3 (523) + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2.7

Factor $3$ out of $3 \cdot (336 + 392 + 409) + 3 (523)$ .

$\frac{3 \cdot (336 + 392 + 409 + 523) + 441 + 1512 + 531 + 1152 + 1077}{9}$

Step 2.8

Factor $3$ out of $441$ .

$\frac{3 \cdot (336 + 392 + 409 + 523) + 3 (147) + 1512 + 531 + 1152 + 1077}{9}$

Step 2.9

Factor $3$ out of $3 \cdot (336 + 392 + 409 + 523) + 3 (147)$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147) + 1512 + 531 + 1152 + 1077}{9}$

Step 2.10

Factor $3$ out of $1512$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147) + 3 (504) + 531 + 1152 + 1077}{9}$

Step 2.11

Factor $3$ out of $3 \cdot (336 + 392 + 409 + 523 + 147) + 3 (504)$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504) + 531 + 1152 + 1077}{9}$

Step 2.12

Factor $3$ out of $531$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504) + 3 (177) + 1152 + 1077}{9}$

Step 2.13

Factor $3$ out of $3 \cdot (336 + 392 + 409 + 523 + 147 + 504) + 3 (177)$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177) + 1152 + 1077}{9}$

Step 2.14

Factor $3$ out of $1152$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177) + 3 (384) + 1077}{9}$

Step 2.15

Factor $3$ out of $3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177) + 3 (384)$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177 + 384) + 1077}{9}$

Step 2.16

Factor $3$ out of $1077$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177 + 384) + 3 (359)}{9}$

Step 2.17

Factor $3$ out of $3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177 + 384) + 3 (359)$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177 + 384 + 359)}{9}$

Step 2.18

Cancel the common factors.

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Step 2.18.1

Factor $3$ out of $9$ .

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177 + 384 + 359)}{3 (3)}$

Step 2.18.2

Cancel the common factor.

$\frac{3 \cdot (336 + 392 + 409 + 523 + 147 + 504 + 177 + 384 + 359)}{3 \cdot 3}$

Step 2.18.3

Rewrite the expression.

$\frac{336 + 392 + 409 + 523 + 147 + 504 + 177 + 384 + 359}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Add $336$ and $392$ .

$\frac{728 + 409 + 523 + 147 + 504 + 177 + 384 + 359}{3}$

Step 3.2

Add $728$ and $409$ .

$\frac{1137 + 523 + 147 + 504 + 177 + 384 + 359}{3}$

Step 3.3

Add $1137$ and $523$ .

$\frac{1660 + 147 + 504 + 177 + 384 + 359}{3}$

Step 3.4

Add $1660$ and $147$ .

$\frac{1807 + 504 + 177 + 384 + 359}{3}$

Step 3.5

Add $1807$ and $504$ .

$\frac{2311 + 177 + 384 + 359}{3}$

Step 3.6

Add $2311$ and $177$ .

$\frac{2488 + 384 + 359}{3}$

Step 3.7

Add $2488$ and $384$ .

$\frac{2872 + 359}{3}$

Step 3.8

Add $2872$ and $359$ .

$\frac{3231}{3}$

Step 4

Divide $3231$ by $3$ .

$1077$