Question

warm up dive in
\\(\frac{2}{3} + \frac{3}{5}\\)
make like units.
there are two figures, one is a rectangle divided into 3 parts with 2 purple, the other is a rectangle divided into 5 parts with 3 purple, and some operation buttons

Explanation:

Step1: Find a common denominator

The denominators are 3 and 5. The least common denominator (LCD) of 3 and 5 is $3\times5 = 15$.

Step2: Rewrite the fractions

For $\frac{2}{3}$, multiply numerator and denominator by 5: $\frac{2\times5}{3\times5}=\frac{10}{15}$.
For $\frac{3}{5}$, multiply numerator and denominator by 3: $\frac{3\times3}{5\times3}=\frac{9}{15}$.

Step3: Add the fractions

Now that the denominators are the same, add the numerators: $\frac{10}{15}+\frac{9}{15}=\frac{10 + 9}{15}=\frac{19}{15}=1\frac{4}{15}$.

Answer:

$\frac{19}{15}$ (or $1\frac{4}{15}$)