Basic Math Examples

10

$10$ ,

20

$20$ ,

30

$30$ ,

40

$40$ ,

50

$50$ ,

60

$60$

Step 1

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

\frac{10 + 20 + 30 + 40 + 50 + 60}{6}

$\frac{10 + 20 + 30 + 40 + 50 + 60}{6}$

Step 2

Cancel the common factor of

10 + 20 + 30 + 40 + 50 + 60

$10 + 20 + 30 + 40 + 50 + 60$ and

6

$6$ .

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Step 2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5) + 20 + 30 + 40 + 50 + 60}{6}

$\frac{2 (5) + 20 + 30 + 40 + 50 + 60}{6}$

Step 2.2

Factor

2

$2$ out of

20

$20$ .

\frac{2 \cdot 5 + 2 \cdot 10 + 30 + 40 + 50 + 60}{6}

$\frac{2 \cdot 5 + 2 \cdot 10 + 30 + 40 + 50 + 60}{6}$

Step 2.3

Factor

2

$2$ out of

2 \cdot 5 + 2 \cdot 10

$2 \cdot 5 + 2 \cdot 10$ .

\frac{2 \cdot (5 + 10) + 30 + 40 + 50 + 60}{6}

$\frac{2 \cdot (5 + 10) + 30 + 40 + 50 + 60}{6}$

Step 2.4

Factor

2

$2$ out of

30

$30$ .

\frac{2 \cdot (5 + 10) + 2 (15) + 40 + 50 + 60}{6}

$\frac{2 \cdot (5 + 10) + 2 (15) + 40 + 50 + 60}{6}$

Step 2.5

Factor

2

$2$ out of

2 \cdot (5 + 10) + 2 (15)

$2 \cdot (5 + 10) + 2 (15)$ .

\frac{2 \cdot (5 + 10 + 15) + 40 + 50 + 60}{6}

$\frac{2 \cdot (5 + 10 + 15) + 40 + 50 + 60}{6}$

Step 2.6

Factor

2

$2$ out of

40

$40$ .

\frac{2 \cdot (5 + 10 + 15) + 2 (20) + 50 + 60}{6}

$\frac{2 \cdot (5 + 10 + 15) + 2 (20) + 50 + 60}{6}$

Step 2.7

Factor

2

$2$ out of

2 \cdot (5 + 10 + 15) + 2 (20)

$2 \cdot (5 + 10 + 15) + 2 (20)$ .

\frac{2 \cdot (5 + 10 + 15 + 20) + 50 + 60}{6}

$\frac{2 \cdot (5 + 10 + 15 + 20) + 50 + 60}{6}$

Step 2.8

Factor

2

$2$ out of

50

$50$ .

\frac{2 \cdot (5 + 10 + 15 + 20) + 2 (25) + 60}{6}

$\frac{2 \cdot (5 + 10 + 15 + 20) + 2 (25) + 60}{6}$

Step 2.9

Factor

2

$2$ out of

2 \cdot (5 + 10 + 15 + 20) + 2 (25)

$2 \cdot (5 + 10 + 15 + 20) + 2 (25)$ .

\frac{2 \cdot (5 + 10 + 15 + 20 + 25) + 60}{6}

$\frac{2 \cdot (5 + 10 + 15 + 20 + 25) + 60}{6}$

Step 2.10

Factor

2

$2$ out of

60

$60$ .

\frac{2 \cdot (5 + 10 + 15 + 20 + 25) + 2 (30)}{6}

$\frac{2 \cdot (5 + 10 + 15 + 20 + 25) + 2 (30)}{6}$

Step 2.11

Factor

2

$2$ out of

2 \cdot (5 + 10 + 15 + 20 + 25) + 2 (30)

$2 \cdot (5 + 10 + 15 + 20 + 25) + 2 (30)$ .

\frac{2 \cdot (5 + 10 + 15 + 20 + 25 + 30)}{6}

$\frac{2 \cdot (5 + 10 + 15 + 20 + 25 + 30)}{6}$

Step 2.12

Cancel the common factors.

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Step 2.12.1

Factor

2

$2$ out of

$6$ .

$\frac{2 \cdot (5 + 10 + 15 + 20 + 25 + 30)}{2 (3)}$

Step 2.12.2

Cancel the common factor.

$\frac{2 \cdot (5 + 10 + 15 + 20 + 25 + 30)}{2 \cdot 3}$

Step 2.12.3

Rewrite the expression.

$\frac{5 + 10 + 15 + 20 + 25 + 30}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Add

$5$ and

$10$ .

$\frac{15 + 15 + 20 + 25 + 30}{3}$

Step 3.2

Add

$15$ and

$15$ .

$\frac{30 + 20 + 25 + 30}{3}$

Step 3.3

Add

$30$ and

$20$ .

$\frac{50 + 25 + 30}{3}$

Step 3.4

Add

$50$ and

$25$ .

$\frac{75 + 30}{3}$

Step 3.5

Add

$75$ and

$30$ .

$\frac{105}{3}$

Step 4

Divide

$105$ by

$3$ .

$35$