²/₃ + ⁴/₅ is—

The correct option is 1 ⁷/₁₅.

To add the fractions, we follow these steps:

Step 1: Find the common denominator.

The denominators of the given fractions are 3 and 5. The least common multiple (LCM) of 3 and 5 is 15.

Step 2: Convert each fraction to an equivalent fraction with a denominator of 15.

For the first fraction, multiply both the numerator and denominator by 5:

$\frac{2}{3}=\frac{2\times 5}{3\times 5}$

For the second fraction, multiply both the numerator and denominator by 3:

$\frac{4}{5}=\frac{4\times 3}{5\times 3}$

Step 3: Add the numerators.

$\frac{10}{15}+\frac{12}{15}=\frac{10+12}{15}=\frac{22}{15}$

Step 4: Convert the improper fraction to a mixed fraction.

Divide 22 by 15. The quotient is 1 and the remainder is 7.

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

Thus, $\frac{2}{3}+\frac{4}{5}=1$⁷/₁₅.