36. As part of an exercise program, Sandra swims $$ 1 / 2 $$ miles every day. One day she had already swum $$ \frac{1}{5} $$ miles. How much farther should Sandra swim?

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1. Write the total distance Sandra swims in one day as a fraction: $$ \frac{1}{2} $$ miles.
2. Write the distance she already swum as a fraction: $$ \frac{1}{5} $$ miles.
3. Subtract the swum distance from the total distance to find how much farther she should swim:

$$
\frac{1}{2} - \frac{1}{5}
$$

4. Find a common denominator for the fractions. The least common denominator of 2 and 5 is 10. Convert both fractions:

$$
\frac{1}{2} = \frac{5}{10}, \quad \frac{1}{5} = \frac{2}{10}
$$

5. Perform the subtraction:

$$
\frac{5}{10} - \frac{2}{10} = \frac{3}{10}
$$

Sandra should swim $$ \frac{3}{10} $$ miles farther.
Sandra should swim $$ \frac{3}{10} $$ miles farther.

As part of an exercise program, Sandra swims
miles every day. One day she had already swum miles.
How much farther should Sandra swim?

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As part of an exercise program, Sandra swims miles every day. One day she had already swum miles. How much farther should Sandra swim?