Solve: (2/3 × 1/3) + 2/9 Fraction Expression

Follow the order of operations (PEMDAS)! Multiplication comes before addition, so you must calculate $\frac{2}{3} \times \frac{1}{3}$ first, then add $\frac{2}{9}$.

It's easy! Multiply straight across: numerator × numerator goes on top, denominator × denominator goes on bottom. So $\frac{2}{3} \times \frac{1}{3} = \frac{2 \times 1}{3 \times 3} = \frac{2}{9}$.

You'd need to find a common denominator first! But in this problem, both fractions already have denominator 9, so you can add directly: $\frac{2}{9} + \frac{2}{9} = \frac{4}{9}$.

Work backwards! Start with $\frac{4}{9}$, subtract $\frac{2}{9}$ to get $\frac{2}{9}$, then see if $\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$ ✓

You could, but fractions are often more precise! $\frac{2}{3} = 0.\overline{6}$ (repeating), which makes decimal calculations messier than keeping everything as fractions.