Basic Math Examples

$- 80 + - \frac{7}{10} \div (4 \cdot 6 - 17)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$- 80 + \frac{- \frac{7}{10}}{4 \cdot 6 - 17}$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

$- 80 - \frac{7}{10} \cdot \frac{1}{4 \cdot 6 - 17}$

Step 1.3

Simplify the denominator.

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Step 1.3.1

Multiply $4$ by $6$ .

$- 80 - \frac{7}{10} \cdot \frac{1}{24 - 17}$

Step 1.3.2

Subtract $17$ from $24$ .

$- 80 - \frac{7}{10} \cdot \frac{1}{7}$

Step 1.4

Cancel the common factor of $7$ .

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Step 1.4.1

Move the leading negative in $- \frac{7}{10}$ into the numerator.

$- 80 + \frac{- 7}{10} \cdot \frac{1}{7}$

Step 1.4.2

Factor $7$ out of $- 7$ .

$- 80 + \frac{7 (- 1)}{10} \cdot \frac{1}{7}$

Step 1.4.3

Cancel the common factor.

$- 80 + \frac{7 \cdot - 1}{10} \cdot \frac{1}{7}$

Step 1.4.4

Rewrite the expression.

$- 80 + \frac{- 1}{10}$

Step 1.5

Move the negative in front of the fraction.

$- 80 - \frac{1}{10}$

Step 2

To write $- 80$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$- 80 \cdot \frac{10}{10} - \frac{1}{10}$

Step 3

Combine $- 80$ and $\frac{10}{10}$ .

$\frac{- 80 \cdot 10}{10} - \frac{1}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 80 \cdot 10 - 1}{10}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 80$ by $10$ .

$\frac{- 800 - 1}{10}$

Step 5.2

Subtract $1$ from $- 800$ .

$\frac{- 801}{10}$

Step 6

Move the negative in front of the fraction.

$- \frac{801}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{801}{10}$

Decimal Form:

$- 80.1$

Mixed Number Form:

$- 80 \frac{1}{10}$