Basic Math Examples

95

$95$ ,

90

$90$ ,

100

$100$ ,

85

$85$ ,

80

$80$

Step 1

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

\frac{95 + 90 + 100 + 85 + 80}{5}

$\frac{95 + 90 + 100 + 85 + 80}{5}$

Step 2

Cancel the common factor of

95 + 90 + 100 + 85 + 80

$95 + 90 + 100 + 85 + 80$ and

5

$5$ .

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Step 2.1

Factor

5

$5$ out of

95

$95$ .

\frac{5 \cdot 19 + 90 + 100 + 85 + 80}{5}

$\frac{5 \cdot 19 + 90 + 100 + 85 + 80}{5}$

Step 2.2

Factor

5

$5$ out of

90

$90$ .

\frac{5 \cdot 19 + 5 \cdot 18 + 100 + 85 + 80}{5}

$\frac{5 \cdot 19 + 5 \cdot 18 + 100 + 85 + 80}{5}$

Step 2.3

Factor

5

$5$ out of

5 \cdot 19 + 5 \cdot 18

$5 \cdot 19 + 5 \cdot 18$ .

\frac{5 \cdot (19 + 18) + 100 + 85 + 80}{5}

$\frac{5 \cdot (19 + 18) + 100 + 85 + 80}{5}$

Step 2.4

Factor

5

$5$ out of

100

$100$ .

\frac{5 \cdot (19 + 18) + 5 \cdot 20 + 85 + 80}{5}

$\frac{5 \cdot (19 + 18) + 5 \cdot 20 + 85 + 80}{5}$

Step 2.5

Factor

5

$5$ out of

5 \cdot (19 + 18) + 5 (20)

$5 \cdot (19 + 18) + 5 (20)$ .

\frac{5 \cdot (19 + 18 + 20) + 85 + 80}{5}

$\frac{5 \cdot (19 + 18 + 20) + 85 + 80}{5}$

Step 2.6

Factor

5

$5$ out of

85

$85$ .

\frac{5 \cdot (19 + 18 + 20) + 5 \cdot 17 + 80}{5}

$\frac{5 \cdot (19 + 18 + 20) + 5 \cdot 17 + 80}{5}$

Step 2.7

Factor

5

$5$ out of

5 \cdot (19 + 18 + 20) + 5 (17)

$5 \cdot (19 + 18 + 20) + 5 (17)$ .

\frac{5 \cdot (19 + 18 + 20 + 17) + 80}{5}

$\frac{5 \cdot (19 + 18 + 20 + 17) + 80}{5}$

Step 2.8

Factor

5

$5$ out of

80

$80$ .

\frac{5 \cdot (19 + 18 + 20 + 17) + 5 \cdot 16}{5}

$\frac{5 \cdot (19 + 18 + 20 + 17) + 5 \cdot 16}{5}$

Step 2.9

Factor

5

$5$ out of

5 \cdot (19 + 18 + 20 + 17) + 5 (16)

$5 \cdot (19 + 18 + 20 + 17) + 5 (16)$ .

\frac{5 \cdot (19 + 18 + 20 + 17 + 16)}{5}

$\frac{5 \cdot (19 + 18 + 20 + 17 + 16)}{5}$

Step 2.10

Cancel the common factors.

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Step 2.10.1

Factor

5

$5$ out of

5

$5$ .

\frac{5 \cdot (19 + 18 + 20 + 17 + 16)}{5 (1)}

$\frac{5 \cdot (19 + 18 + 20 + 17 + 16)}{5 (1)}$

Step 2.10.2

Cancel the common factor.

\frac{5 \cdot (19 + 18 + 20 + 17 + 16)}{5 \cdot 1}

$\frac{5 \cdot (19 + 18 + 20 + 17 + 16)}{5 \cdot 1}$

Step 2.10.3

Rewrite the expression.

\frac{19 + 18 + 20 + 17 + 16}{1}

$\frac{19 + 18 + 20 + 17 + 16}{1}$

Step 2.10.4

Divide

19 + 18 + 20 + 17 + 16

$19 + 18 + 20 + 17 + 16$ by

1

$1$ .

19 + 18 + 20 + 17 + 16

$19 + 18 + 20 + 17 + 16$

19 + 18 + 20 + 17 + 16

$19 + 18 + 20 + 17 + 16$

19 + 18 + 20 + 17 + 16

$19 + 18 + 20 + 17 + 16$

Step 3

Simplify by adding numbers.

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Step 3.1

Add

19

$19$ and

18

$18$ .

37 + 20 + 17 + 16

$37 + 20 + 17 + 16$

Step 3.2

Add

37

$37$ and

20

$20$ .

57 + 17 + 16

$57 + 17 + 16$

Step 3.3

Add

57

$57$ and

17

$17$ .

74 + 16

$74 + 16$

Step 3.4

Add

74

$74$ and

16

$16$ .

90

$90$

90

$90$