Solve: (3/5 × 2/3) + 2/5 | Mixed Fraction Operations

You follow the order of operations (PEMDAS/BODMAS)! Multiplication always comes before addition, even with fractions. So $\frac{3}{5} \times \frac{2}{3}$ must be calculated before adding $\frac{2}{5}$.

Multiply straight across: numerator × numerator and denominator × denominator. So $\frac{3}{5} \times \frac{2}{3} = \frac{3×2}{5×3} = \frac{6}{15}$. Then simplify by dividing both by their GCD.

Simplifying makes the math easier! Both 6 and 15 are divisible by 3, so $\frac{6}{15} = \frac{2}{5}$. This gives you a cleaner fraction that's easier to work with in the next step.

Yes! Since both fractions already have the same denominator (5), you can add the numerators directly: $\frac{2+2}{5} = \frac{4}{5}$. No LCD needed!

Work backwards! Calculate $\frac{3}{5} \times \frac{2}{3} = \frac{2}{5}$, then add $\frac{2}{5} + \frac{2}{5} = \frac{4}{5}$. If you get the same result, you're correct!