5/6:2/3

To solve the expression \( \frac{5}{6} : \frac{2}{3} \), you can convert the division into multiplication by taking the reciprocal of the second fraction.

So, the expression becomes:

\[ \frac{5}{6} \times \frac{3}{2} \]

Now, multiply the numerators and the denominators:

\[ \frac{5 \times 3}{6 \times 2} = \frac{15}{12} \]

Next, simplify \( \frac{15}{12} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

\[ \frac{15 \div 3}{12 \div 3} = \frac{5}{4} \]

Therefore, \( \frac{5}{6} : \frac{2}{3} = \frac{5}{4} \) or 1.25 in decimal form.