Solve Fraction Addition: 4/15 + 2/5 Step by Step

To solve the problem of adding $\frac{4}{15} + \frac{2}{5}$, follow these steps:

• Step 1: Identify a common denominator. Since 5 is a factor of 15, we will use 15 as the common denominator.
• Step 2: Convert $\frac{2}{5}$ to a fraction with a denominator of 15. To do this, multiply both the numerator and denominator by 3: $\frac{2 \times 3}{5 \times 3} = \frac{6}{15}$.
• Step 3: Add the fractions: $\frac{4}{15} + \frac{6}{15}$.
• Step 4: Since both fractions now have the same denominator, add the numerators: $\frac{4 + 6}{15} = \frac{10}{15}$.
• Step 5: Simplify $\frac{10}{15}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 5: $\frac{10 \div 5}{15 \div 5} = \frac{2}{3}$.

Therefore, the sum of $\frac{4}{15} + \frac{2}{5}$ is $\frac{2}{3}$.