Question
the track at the park is 2 3/5 long steves bike tire was flat 3/4 of the way around the track how far did steve travel before he got a flat tire
Answers
GPT-4o mini
To find out how far Steve traveled before his tire went flat, we need to calculate \( \frac{3}{4} \) of the total length of the track, which is \( 2 \frac{3}{5} \).
First, let's convert \( 2 \frac{3}{5} \) into an improper fraction:
\[
2 \frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{10 + 3}{5} = \frac{13}{5}
\]
Now we can calculate \( \frac{3}{4} \) of \( \frac{13}{5} \):
\[
\frac{3}{4} \times \frac{13}{5} = \frac{3 \times 13}{4 \times 5} = \frac{39}{20}
\]
Next, let's convert \( \frac{39}{20} \) into a mixed number:
\[
\frac{39}{20} = 1 \frac{19}{20}
\]
Thus, Steve traveled \( 1 \frac{19}{20} \) units around the track before he got a flat tire.
First, let's convert \( 2 \frac{3}{5} \) into an improper fraction:
\[
2 \frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{10 + 3}{5} = \frac{13}{5}
\]
Now we can calculate \( \frac{3}{4} \) of \( \frac{13}{5} \):
\[
\frac{3}{4} \times \frac{13}{5} = \frac{3 \times 13}{4 \times 5} = \frac{39}{20}
\]
Next, let's convert \( \frac{39}{20} \) into a mixed number:
\[
\frac{39}{20} = 1 \frac{19}{20}
\]
Thus, Steve traveled \( 1 \frac{19}{20} \) units around the track before he got a flat tire.