ANSWER
2/3
EXPLANATION
When we have a multiplication of fractions such as this,
[tex]\frac{4}{5}\times\frac{5}{6}[/tex]We can simplify the numerators and denominators before solving the product. In this case, since 5 is in the denominator of the first fraction and also in the numerator of the second fraction, it cancels out,
[tex]\frac{4}{5}\times\frac{5}{6}=\frac{4}{6}[/tex]But note that 4 and 6 are both even numbers - i.e. they are divisible by 2, so by dividing both the numerator and the denominator by 2, we will get the simplified answer,
[tex]\frac{\frac{4}{2}}{\frac{6}{2}}=\frac{2}{3}[/tex]Hence, the product is 2/3.