You walk $$ \frac{2}{5} $$ miles to a shoe store. Then you walk another $$ \frac{1}{3} $$ miles to a music store. How many miles have you walked in all? Write your answer as a fraction in simplest form. $$ \square $$ miles

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To add the distances, we start with the fractions:

$$
\frac{2}{5} + \frac{1}{3}
$$

Find a common denominator. The least common multiple of 5 and 3 is 15, so we convert each fraction:

$$
\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}
$$

$$
\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
$$

Now add the fractions:

$$
\frac{6}{15} + \frac{5}{15} = \frac{6+5}{15} = \frac{11}{15}
$$

Thus, you have walked a total of $$ \frac{11}{15} $$ miles.
You have walked $$ \frac{11}{15} $$ miles in all.

You walk miles to a shoe store. Then you walk another miles to a music store. How many miles have you walked in all?
Write your answer as a fraction in simplest form.
miles

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You walk miles to a shoe store. Then you walk another miles to a music store. How many miles have you walked in all? Write your answer as a fraction in simplest form. miles