Question

$\frac{4}{5} + \frac{2}{3} = $

Explanation:

Step1: Find a common denominator

The denominators are 5 and 3. The least common denominator (LCD) of 5 and 3 is $5\times3 = 15$.

Step2: Rewrite the fractions with the LCD

For $\frac{4}{5}$, multiply numerator and denominator by 3: $\frac{4\times3}{5\times3}=\frac{12}{15}$.
For $\frac{2}{3}$, multiply numerator and denominator by 5: $\frac{2\times5}{3\times5}=\frac{10}{15}$.

Step3: Add the numerators

Now add the two fractions: $\frac{12}{15}+\frac{10}{15}=\frac{12 + 10}{15}=\frac{22}{15}$.

Step4: Convert to mixed number (optional)

$\frac{22}{15}=1\frac{7}{15}$.

Answer:

$\frac{22}{15}$ (or $1\frac{7}{15}$)