Basic Math Examples

$- 70 \div 5 \frac{5}{6}$

Convert $5 \frac{5}{6}$ to an improper fraction.

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

$- 70 \div (5 + \frac{5}{6})$

Add $5$ and $\frac{5}{6}$ .

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To write $5$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- 70 \div (5 \cdot \frac{6}{6} + \frac{5}{6})$

Combine $5$ and $\frac{6}{6}$ .

$- 70 \div (\frac{5 \cdot 6}{6} + \frac{5}{6})$

Combine the numerators over the common denominator.

$- 70 \div \frac{5 \cdot 6 + 5}{6}$

Simplify the numerator.

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Multiply $5$ by $6$ .

$- 70 \div \frac{30 + 5}{6}$

Add $30$ and $5$ .

$- 70 \div \frac{35}{6}$

To divide by a fraction, multiply by its reciprocal.

$- 70 (\frac{6}{35})$

Cancel the common factor of $35$ .

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Factor $35$ out of $- 70$ .

$35 (- 2) \frac{6}{35}$

Cancel the common factor.

$35 \cdot - 2 \frac{6}{35}$

Rewrite the expression.

$- 2 \cdot 6$

Multiply $- 2$ by $6$ .

$- 12$