Basic Math Examples

$- 12^{2} \div 9 \cdot - 8 \div (- 10) - 1.8 (2.5 + 1.2)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{- 12^{2} \div 9 \cdot - 8}{- 10} - 1.8 (2.5 + 1.2)$

Step 1.2

Cancel the common factor of $- 8$ and $- 10$ .

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Step 1.2.1

Factor $- 2$ out of $- 12^{2} \div 9 \cdot - 8$ .

$\frac{- 2 (- 12^{2} \div 9 \cdot 4)}{- 10} - 1.8 (2.5 + 1.2)$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $- 2$ out of $- 10$ .

$\frac{- 2 (- 12^{2} \div 9 \cdot 4)}{- 2 (5)} - 1.8 (2.5 + 1.2)$

Step 1.2.2.2

Cancel the common factor.

$\frac{- 2 (- 12^{2} \div 9 \cdot 4)}{- 2 \cdot 5} - 1.8 (2.5 + 1.2)$

Step 1.2.2.3

Rewrite the expression.

$\frac{- 12^{2} \div 9 \cdot 4}{5} - 1.8 (2.5 + 1.2)$

Step 1.3

Raise $12$ to the power of $2$ .

$\frac{- 1 \cdot 144 \div 9 \cdot 4}{5} - 1.8 (2.5 + 1.2)$

Step 1.4

Multiply $- 1$ by $144$ .

$\frac{- 144 \div 9 \cdot 4}{5} - 1.8 (2.5 + 1.2)$

Step 1.5

Combine $- 144 \div 9$ and $4$ .

$\frac{\frac{- 144 \cdot 4}{9}}{5} - 1.8 (2.5 + 1.2)$

Step 1.6

Multiply $- 144$ by $4$ .

$\frac{\frac{- 576}{9}}{5} - 1.8 (2.5 + 1.2)$

Step 1.7

Divide $- 576$ by $9$ .

$\frac{- 64}{5} - 1.8 (2.5 + 1.2)$

Step 1.8

Move the negative in front of the fraction.

$- \frac{64}{5} - 1.8 (2.5 + 1.2)$

Step 1.9

Add $2.5$ and $1.2$ .

$- \frac{64}{5} - 1.8 \cdot 3.7$

Step 1.10

Multiply $- 1.8$ by $3.7$ .

$- \frac{64}{5} - 6.66$

Step 2

To write $- 6.66$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{64}{5} - 6.66 \cdot \frac{5}{5}$

Step 3

Combine fractions.

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Step 3.1

Combine $- 6.66$ and $\frac{5}{5}$ .

$- \frac{64}{5} + \frac{- 6.66 \cdot 5}{5}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{- 64 - 6.66 \cdot 5}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 6.66$ by $5$ .

$\frac{- 64 - 33.3}{5}$

Step 4.2

Subtract $33.3$ from $- 64$ .

$\frac{- 97.3}{5}$

Step 5

Divide $- 97.3$ by $5$ .

$- 19.46$