Simplify (200)(0.085)(2 2/12)

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

Step 1

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

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

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

Add $2$ and $\frac{2}{12}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

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

Combine $2$ and $\frac{12}{12}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $12$ .

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

Add $24$ and $2$ .

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

Step 2

Multiply $200$ by $0.085$ .

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

Step 3

Cancel the common factor of $26$ and $12$ .

Factor $2$ out of $26$ .

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

Cancel the common factors.

Factor $2$ out of $12$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

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

Combine $17$ and $\frac{13}{6}$ .

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

Multiply $17$ by $13$ .

$\frac{221}{6}$

Step 5

Cancel the common factor of $221$ and $6$ .

Rewrite $221$ as $1 (221)$ .

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

Cancel the common factors.

Rewrite $6$ as $1 (6)$ .

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

Cancel the common factor.

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

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:

$36 \frac{5}{6}$

Simplify (200)(0.085)(2 2/12)

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