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To solve the problem:

- Initially, the gas tank was \( \frac{7}{8} \) full when you left.
- At the destination, the gas tank was \( \frac{1}{4} \) full.

To find out how much gas was used during the trip, subtract the amount left at the destination from the amount you started with:

\[
\frac{7}{8} - \frac{1}{4}
\]

First, let's convert the fractions to have the same denominator. Since \( \frac{7}{8} \) has a denominator of 8, and \( \frac{1}{4} \) has a denominator of 4, we can convert \( \frac{1}{4} \) to \( \frac{2}{8} \):

\[
\frac{7}{8} - \frac{2}{8} = \frac{5}{8}
\]

So, you used \( \frac{5}{8} \) of a tank of gas during the trip.

The correct answer is \( \frac{5}{8} \), which corresponds to the first option.

Would you like a more detailed explanation, or do you have any other questions?

Here are 5 related questions to expand your understanding:
1. How would you convert fractions with different denominators for subtraction?
2. What if the starting gas was \( \frac{3}{4} \) full instead of \( \frac{7}{8} \)?
3. Can you explain why we subtract the final amount from the starting amount?
4. What if the destination gas level was expressed as a percentage?
5. How much gas would be used if the starting tank was \( \frac{7}{8} \) and it ended up at \( \frac{3}{8} \)?

**Tip:** When subtracting fractions, always make sure the denominators are the same before performing the operation!

The gas tank in your family’s car was 7/8 full when you left your house. When you arrived at your destination, the tank was 1/4 full. What fraction of a tank of gas did you use during the trip?

Solve a fractions problem involving the subtraction of 7/8 and 1/4 to determine how much gas was used. This problem covers concepts like subtracting fractions with different denominators and is suitable for students in Grades 4-6.

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