Basic Math Examples

$\frac{- 19 - 5}{5^{2} - 29} \div (8 - 2)$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{- 19 - 5}{5^{2} - 29}}{8 - 2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{- 19 - 5}{5^{2} - 29} \cdot \frac{1}{8 - 2}$

Step 3

Subtract $5$ from $- 19$ .

$\frac{- 24}{5^{2} - 29} \cdot \frac{1}{8 - 2}$

Step 4

Simplify the denominator.

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Step 4.1

Raise $5$ to the power of $2$ .

$\frac{- 24}{25 - 29} \cdot \frac{1}{8 - 2}$

Step 4.2

Subtract $29$ from $25$ .

$\frac{- 24}{- 4} \cdot \frac{1}{8 - 2}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Divide $- 24$ by $- 4$ .

$6 \frac{1}{8 - 2}$

Step 5.2

Subtract $2$ from $8$ .

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

Step 5.3

Cancel the common factor of $6$ .

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Step 5.3.1

Cancel the common factor.

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

Step 5.3.2

Rewrite the expression.

$1$