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

Answer 1

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.