Kim swam three-fifths of a lap in the morning and four-fifteenths of a lap in the evening. How much farther did Kim swim in the morning than in the evening?

To find out how much farther Kim swam in the morning than in the evening, we need to subtract the distance she swam in the evening from the distance she swam in the morning.

1. Kim swam \( \frac{3}{5} \) of a lap in the morning.
2. Kim swam \( \frac{4}{15} \) of a lap in the evening.

Before subtracting these fractions, we need to find a common denominator.

- The denominators are 5 and 15.
- The least common denominator (LCD) of 5 and 15 is 15.

Now, convert \( \frac{3}{5} \) to an equivalent fraction with a denominator of 15:

\[
\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}
\]

Now subtract \( \frac{4}{15} \) from \( \frac{9}{15} \):

\[
\frac{9}{15} - \frac{4}{15} = \frac{9 - 4}{15} = \frac{5}{15}
\]

Simplify \( \frac{5}{15} \):

\[
\frac{5}{15} = \frac{1}{3}
\]

So, Kim swam \( \frac{1}{3} \) of a lap farther in the morning than in the evening.

Would you like more details on this solution, or do you have any further questions?

Here are 5 related questions to consider:
1. How many total laps did Kim swim during the entire day?
2. If Kim swam the same fraction of a lap in the evening as she did in the morning, how much would she swim in total?
3. If Kim wants to swim a full lap in total, how much more does she need to swim?
4. What fraction of the lap did Kim swim in the evening compared to what she swam in the morning?
5. If Kim increases her evening swim by \( \frac{1}{15} \) of a lap, how much farther does she swim in the morning than in the evening then?

**Tip:** When comparing fractions, always ensure they have a common denominator before performing any arithmetic operations like addition or subtraction.

Learn how to calculate how much farther Kim swam in the morning compared to the evening using fractions and subtraction. This problem involves fractions, common denominators, and basic arithmetic. Suitable for students in Grades 4-6.

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