Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending multiply and simplify the answer. (\frac{3}{5} cdot \frac{5}{6}) (\bigcirc) (\frac{15}{30}) (\bigcirc) (\frac{1}{2}) (\bigcirc) (\frac{18}{25}) (\bigcirc) (3)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\), we use the rule \(\frac{a}{b}\cdot\frac{c}{d}=\frac{a\times c}{b\times d}\). So for \(\frac{3}{5}\cdot\frac{5}{6}\), we multiply the numerators \(3\times5 = 15\) and the denominators \(5\times6=30\), getting \(\frac{15}{30}\).

Step2: Simplify the fraction

We simplify \(\frac{15}{30}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 15. So \(\frac{15\div15}{30\div15}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\) (corresponding to the option with \(\frac{1}{2}\))