Basic Math Examples

(200) (0.085) (2 \frac{2}{12})

$(200) (0.085) (2 \frac{2}{12})$

Step 1

Convert

2 \frac{2}{12}

$2 \frac{2}{12}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

(200) (0.085) (2 + \frac{2}{12})

$(200) (0.085) (2 + \frac{2}{12})$

Step 1.2

Add

2

$2$ and

\frac{2}{12}

$\frac{2}{12}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{12}{12}

$\frac{12}{12}$ .

(200) (0.085) (2 \cdot \frac{12}{12} + \frac{2}{12})

$(200) (0.085) (2 \cdot \frac{12}{12} + \frac{2}{12})$

Step 1.2.2

Combine

2

$2$ and

\frac{12}{12}

$\frac{12}{12}$ .

(200) (0.085) (\frac{2 \cdot 12}{12} + \frac{2}{12})

$(200) (0.085) (\frac{2 \cdot 12}{12} + \frac{2}{12})$

Step 1.2.3

Combine the numerators over the common denominator.

(200) (0.085) \frac{2 \cdot 12 + 2}{12}

$(200) (0.085) \frac{2 \cdot 12 + 2}{12}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

12

$12$ .

(200) (0.085) \frac{24 + 2}{12}

$(200) (0.085) \frac{24 + 2}{12}$

Step 1.2.4.2

Add

24

$24$ and

2

$2$ .

(200) (0.085) \frac{26}{12}

$(200) (0.085) \frac{26}{12}$

(200) (0.085) \frac{26}{12}

$(200) (0.085) \frac{26}{12}$

(200) (0.085) \frac{26}{12}

$(200) (0.085) \frac{26}{12}$

(200) (0.085) \frac{26}{12}

$(200) (0.085) \frac{26}{12}$

Step 2

Multiply

200

$200$ by

0.085

$0.085$ .

17 (\frac{26}{12})

$17 (\frac{26}{12})$

Step 3

Cancel the common factor of

26

$26$ and

12

$12$ .

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Step 3.1

Factor

2

$2$ out of

26

$26$ .

17 \frac{2 (13)}{12}

$17 \frac{2 (13)}{12}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

2

$2$ out of

12

$12$ .

17 \frac{2 \cdot 13}{2 \cdot 6}

$17 \frac{2 \cdot 13}{2 \cdot 6}$

Step 3.2.2

Cancel the common factor.

$17 \frac{2 \cdot 13}{2 \cdot 6}$

Step 3.2.3

Rewrite the expression.

$17 (\frac{13}{6})$

Step 4

Multiply

$17 (\frac{13}{6})$ .

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Step 4.1

Combine

$17$ and

$\frac{13}{6}$ .

$\frac{17 \cdot 13}{6}$

Step 4.2

Multiply

$17$ by

$13$ .

$\frac{221}{6}$

Step 5

Cancel the common factor of

$221$ and

$6$ .

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Step 5.1

Rewrite

$221$ as

$1 (221)$ .

$\frac{1 (221)}{6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Rewrite

$6$ as

$1 (6)$ .

$\frac{1 \cdot 221}{1 \cdot 6}$

Step 5.2.2

Cancel the common factor.

$\frac{1 \cdot 221}{1 \cdot 6}$

Step 5.2.3

Rewrite the expression.

$\frac{221}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{221}{6}$

Decimal Form:

$36.8\overline{3}$

Mixed Number Form:

$36 \frac{5}{6}$