Calculate (5/6)² : Finding the Square of a Specific Fraction

Because $(\frac{a}{b})^2$ means $\frac{a}{b} \times \frac{a}{b}$! When multiplying fractions, you multiply numerator × numerator and denominator × denominator, giving you $\frac{a^2}{b^2}$.

No! The fraction $\frac{25}{36}$ is already in simplest form because 25 and 36 share no common factors other than 1. Always check if your answer can be simplified, but this one cannot.

Remember: everything inside the parentheses gets affected by the exponent! So $(\frac{5}{6})^2$ means both the 5 and the 6 get squared separately.

You could convert $\frac{5}{6}$ to 0.833... then square it, but you'll get a messy decimal! It's much cleaner to keep it as a fraction throughout the calculation.

Big difference! $(\frac{5}{6})^2 = \frac{25}{36}$ squares the entire fraction, while $\frac{5^2}{6} = \frac{25}{6}$ only squares the numerator. Parentheses matter!