Algebra Examples

$1 \frac{2}{3}$

Step 1

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

$\frac{1}{1 \frac{2}{3}}$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Convert $1 \frac{2}{3}$ to an improper fraction.

Tap for more steps...

Step 2.1.1

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

$\frac{1}{1 + \frac{2}{3}}$

Step 2.1.2

Add $1$ and $\frac{2}{3}$ .

Tap for more steps...

Step 2.1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{1}{\frac{3}{3} + \frac{2}{3}}$

Step 2.1.2.2

Combine the numerators over the common denominator.

$\frac{1}{\frac{3 + 2}{3}}$

Step 2.1.2.3

Add $3$ and $2$ .

$\frac{1}{\frac{5}{3}}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$1 (\frac{3}{5})$

Step 2.3

Multiply $\frac{3}{5}$ by $1$ .

$\frac{3}{5}$