Calculus Examples

$\frac{- \frac{4}{5}}{7 + \frac{4}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$- \frac{4}{5} \cdot \frac{1}{7 + \frac{4}{5}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

To write $7$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{4}{5} \cdot \frac{1}{7 \cdot \frac{5}{5} + \frac{4}{5}}$

Step 2.2

Combine $7$ and $\frac{5}{5}$ .

$- \frac{4}{5} \cdot \frac{1}{\frac{7 \cdot 5}{5} + \frac{4}{5}}$

Step 2.3

Combine the numerators over the common denominator.

$- \frac{4}{5} \cdot \frac{1}{\frac{7 \cdot 5 + 4}{5}}$

Step 2.4

Simplify the numerator.

Tap for more steps...

Step 2.4.1

Multiply $7$ by $5$ .

$- \frac{4}{5} \cdot \frac{1}{\frac{35 + 4}{5}}$

Step 2.4.2

Add $35$ and $4$ .

$- \frac{4}{5} \cdot \frac{1}{\frac{39}{5}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$- \frac{4}{5} (1 (\frac{5}{39}))$

Step 4

Multiply $\frac{5}{39}$ by $1$ .

$- \frac{4}{5} \cdot \frac{5}{39}$

Step 5

Cancel the common factor of $5$ .

Tap for more steps...

Step 5.1

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$\frac{- 4}{5} \cdot \frac{5}{39}$

Step 5.2

Cancel the common factor.

$\frac{- 4}{5} \cdot \frac{5}{39}$

Step 5.3

Rewrite the expression.

$- 4 (\frac{1}{39})$

Step 6

Combine $- 4$ and $\frac{1}{39}$ .

$\frac{- 4}{39}$

Step 7

Move the negative in front of the fraction.

$- \frac{4}{39}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{39}$

Decimal Form:

$- 0.\overline{102564}$