Question
yesterday Wayne walked 1/4 of a mile from his school to the convenience store and 1/3 of a mile from the convenience store back home how many miles did Wayne walk in all
Answers
GPT-4o mini
To find out how many miles Wayne walked in all, you need to add the distance he walked to the convenience store and the distance he walked back home.
He walked \( \frac{1}{4} \) mile to the store and \( \frac{1}{3} \) mile back home.
To add these two fractions, you need a common denominator. The least common multiple of 4 and 3 is 12.
Now convert both fractions to have a denominator of 12:
\[
\frac{1}{4} = \frac{3}{12} \quad \text{(since } 1 \times 3 = 3 \text{ and } 4 \times 3 = 12\text{)}
\]
\[
\frac{1}{3} = \frac{4}{12} \quad \text{(since } 1 \times 4 = 4 \text{ and } 3 \times 4 = 12\text{)}
\]
Now, add the two fractions:
\[
\frac{3}{12} + \frac{4}{12} = \frac{3 + 4}{12} = \frac{7}{12}
\]
Wayne walked a total of \( \frac{7}{12} \) miles.
He walked \( \frac{1}{4} \) mile to the store and \( \frac{1}{3} \) mile back home.
To add these two fractions, you need a common denominator. The least common multiple of 4 and 3 is 12.
Now convert both fractions to have a denominator of 12:
\[
\frac{1}{4} = \frac{3}{12} \quad \text{(since } 1 \times 3 = 3 \text{ and } 4 \times 3 = 12\text{)}
\]
\[
\frac{1}{3} = \frac{4}{12} \quad \text{(since } 1 \times 4 = 4 \text{ and } 3 \times 4 = 12\text{)}
\]
Now, add the two fractions:
\[
\frac{3}{12} + \frac{4}{12} = \frac{3 + 4}{12} = \frac{7}{12}
\]
Wayne walked a total of \( \frac{7}{12} \) miles.