Evaluate 10/(3/(1/6))-(2.8+1.2)

$\frac{10}{\frac{3}{\frac{1}{6}}} - (2.8 + 1.2)$

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$10 \frac{\frac{1}{6}}{3} - (2.8 + 1.2)$

Multiply the numerator by the reciprocal of the denominator.

$10 (\frac{1}{6} \cdot \frac{1}{3}) - (2.8 + 1.2)$

Multiply $\frac{1}{6} \cdot \frac{1}{3}$ .

Multiply $\frac{1}{6}$ by $\frac{1}{3}$ .

$10 \frac{1}{6 \cdot 3} - (2.8 + 1.2)$

Multiply $6$ by $3$ .

$10 (\frac{1}{18}) - (2.8 + 1.2)$

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$2 (5) \frac{1}{18} - (2.8 + 1.2)$

Factor $2$ out of $18$ .

$2 \cdot 5 \frac{1}{2 \cdot 9} - (2.8 + 1.2)$

Cancel the common factor.

$2 \cdot 5 \frac{1}{2 \cdot 9} - (2.8 + 1.2)$

Rewrite the expression.

$5 (\frac{1}{9}) - (2.8 + 1.2)$

Combine $5$ and $\frac{1}{9}$ .

$\frac{5}{9} - (2.8 + 1.2)$

Add $2.8$ and $1.2$ .

$\frac{5}{9} - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$\frac{5}{9} - 4$

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{5}{9} - 4 \cdot \frac{9}{9}$

Combine $- 4$ and $\frac{9}{9}$ .

$\frac{5}{9} + \frac{- 4 \cdot 9}{9}$

Combine the numerators over the common denominator.

$\frac{5 - 4 \cdot 9}{9}$

Simplify the numerator.

Multiply $- 4$ by $9$ .

$\frac{5 - 36}{9}$

Subtract $36$ from $5$ .

$\frac{- 31}{9}$

Cancel the common factor of $- 31$ and $9$ .

Rewrite $- 31$ as $1 (- 31)$ .

$\frac{1 (- 31)}{9}$

Cancel the common factors.

Rewrite $9$ as $1 (9)$ .

$\frac{1 \cdot - 31}{1 \cdot 9}$

Cancel the common factor.

$\frac{1 \cdot - 31}{1 \cdot 9}$

Rewrite the expression.

$\frac{- 31}{9}$

Move the negative in front of the fraction.

$- \frac{31}{9}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{31}{9}$

Decimal Form:

$- 3.\overline{4}$

Mixed Number Form:

$- 3 \frac{4}{9}$

Evaluate 10/(3/(1/6))-(2.8+1.2)

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