Question
Shawna is learning to drive, so this weekend she practiced driving \( 1 / 4 \) of a mile with her mother and another \( 7 / 8 \) of a mile with her father. How far did Shawna drive in all? Write your answer as a fraction or as a whole or mixed number. miles
Ask by Ramos Luna. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Shawna drove a total of \(1\,\frac{1}{8}\) miles.
Solution
To find the total distance Shawna drove, add the distances she drove with her mother and father:
\[
\frac{1}{4} \text{ mile} + \frac{7}{8} \text{ mile}
\]
First, find a common denominator for the fractions. The least common denominator between 4 and 8 is 8.
Convert \(\frac{1}{4}\) to eighths:
\[
\frac{1}{4} = \frac{2}{8}
\]
Now, add the two fractions:
\[
\frac{2}{8} + \frac{7}{8} = \frac{9}{8}
\]
\(\frac{9}{8}\) can also be expressed as a mixed number:
\[
\frac{9}{8} = 1 \frac{1}{8}
\]
**Answer:**
Shawna drove a total of \(1\,\frac{1}{8}\) miles.
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Extra Insights
To find how far Shawna drove in total, we'll add the two distances together. First, convert \( 1 / 4 \) and \( 7 / 8 \) to have a common denominator. The least common denominator of 4 and 8 is 8. Now, convert \( 1 / 4 \) to eighths: \[ 1/4 = 2/8 \] Now, add \( 2/8 \) to \( 7/8 \): \[ 2/8 + 7/8 = 9/8 \] So, Shawna drove a total of \( 9 / 8 \) miles, which can also be expressed as \( 1 \frac{1}{8} \) miles.