Basic Math Examples

$\frac{\sqrt{39}}{8} \div (- \frac{5}{8})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{\sqrt{39}}{8} (- \frac{8}{5})$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $8$ .

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Step 2.1.1

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$\frac{\sqrt{39}}{8} \cdot \frac{- 8}{5}$

Step 2.1.2

Factor $8$ out of $- 8$ .

$\frac{\sqrt{39}}{8} \cdot \frac{8 (- 1)}{5}$

Step 2.1.3

Cancel the common factor.

$\frac{\sqrt{39}}{8} \cdot \frac{8 \cdot - 1}{5}$

Step 2.1.4

Rewrite the expression.

$\sqrt{39} \frac{- 1}{5}$

Step 2.2

Combine $\sqrt{39}$ and $\frac{- 1}{5}$ .

$\frac{\sqrt{39} \cdot - 1}{5}$

Step 3

Simplify the numerator.

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Step 3.1

Move $- 1$ to the left of $\sqrt{39}$ .

$\frac{- 1 \cdot \sqrt{39}}{5}$

Step 3.2

Rewrite $- 1 \sqrt{39}$ as $- \sqrt{39}$ .

$\frac{- \sqrt{39}}{5}$

Step 4

Move the negative in front of the fraction.

$- \frac{\sqrt{39}}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt{39}}{5}$

Decimal Form:

$- 1.24899959 \dots$