Simplify (( square root of 5)/3)/(2/3)

$\frac{\frac{\sqrt{5}}{3}}{\frac{2}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\sqrt{5}}{3} \cdot \frac{3}{2}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{\sqrt{5}}{3} \cdot \frac{3}{2}$

Rewrite the expression.

$\sqrt{5} \frac{1}{2}$

Step 3

Combine $\sqrt{5}$ and $\frac{1}{2}$ .

$\frac{\sqrt{5}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{5}}{2}$

Decimal Form:

$1.11803398 \dots$