Algebra Examples

$6 \frac{4}{5}$

Step 1

To find the reciprocal, divide $1$ by the number given.

$\frac{1}{6 \frac{4}{5}}$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Convert $6 \frac{4}{5}$ to an improper fraction.

Tap for more steps...

Step 2.1.1

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

$\frac{1}{6 + \frac{4}{5}}$

Step 2.1.2

Add $6$ and $\frac{4}{5}$ .

Tap for more steps...

Step 2.1.2.1

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

$\frac{1}{6 \cdot \frac{5}{5} + \frac{4}{5}}$

Step 2.1.2.2

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

$\frac{1}{\frac{6 \cdot 5}{5} + \frac{4}{5}}$

Step 2.1.2.3

Combine the numerators over the common denominator.

$\frac{1}{\frac{6 \cdot 5 + 4}{5}}$

Step 2.1.2.4

Simplify the numerator.

Tap for more steps...

Step 2.1.2.4.1

Multiply $6$ by $5$ .

$\frac{1}{\frac{30 + 4}{5}}$

Step 2.1.2.4.2

Add $30$ and $4$ .

$\frac{1}{\frac{34}{5}}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$1 (\frac{5}{34})$

Step 2.3

Multiply $\frac{5}{34}$ by $1$ .

$\frac{5}{34}$