Question
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?
Ask by Olson Little. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Sandra should swim \( \frac{3}{10} \) miles farther.
Solution
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.
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Simplify this solution Extra Insights
To find out how much farther Sandra should swim, we start by determining the total distance she swims daily, which is \( \frac{1}{2} \) miles. She has already swum \( \frac{1}{5} \) miles. First, convert \( \frac{1}{2} \) miles into a fraction with a denominator of 10 to make subtraction easier: \[ \frac{1}{2} = \frac{5}{10} \] Now convert \( \frac{1}{5} \) similarly: \[ \frac{1}{5} = \frac{2}{10} \] Now, we can find out how much farther she has to swim by subtracting: \[ \frac{5}{10} - \frac{2}{10} = \frac{3}{10} \] So, Sandra should swim \( \frac{3}{10} \) miles farther today.
