Solve: Find the Unknown Factor in (3/5 × ? = 2/4)

Simplifying fractions makes calculations easier and reduces errors. $\frac{2}{4} = \frac{1}{2}$ is much simpler to work with than the original fraction.

To divide by a fraction, multiply by its reciprocal! The reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$, so dividing by $\frac{3}{5}$ means multiplying by $\frac{5}{3}$.

Always double-check your work and make sure you've simplified completely. Also verify by substituting back into the original equation - this catches most calculation errors!

Not directly! Cross-multiplication works when you have $\frac{a}{b} = \frac{c}{d}$. Here you need to rearrange first to get $? = \frac{\frac{1}{2}}{\frac{3}{5}}$, then multiply by the reciprocal.

Check if the numerator and denominator share any common factors. Since 5 and 6 have no common factors except 1, $\frac{5}{6}$ is already in lowest terms!