Question

The cityscape bike path is 2 2/3 times longer than 7/8 of a mile. How long is the cityscape bike path

Answer 1

To find the length of the cityscape bike path, we first need to multiply \( \frac{7}{8} \) of a mile by \( 2 \frac{2}{3} \).

First, convert \( 2 \frac{2}{3} \) into an improper fraction:

\[
2 \frac{2}{3} = 2 \times 3 + 2 = 6 + 2 = \frac{8}{3}
\]

Now we need to compute:

\[
\frac{8}{3} \times \frac{7}{8}
\]

Now multiply the fractions together:

\[
\frac{8 \times 7}{3 \times 8} = \frac{56}{24}
\]

Now simplify \( \frac{56}{24} \):

Both the numerator and denominator can be divided by 8:

\[
\frac{56 \div 8}{24 \div 8} = \frac{7}{3}
\]

Now, to understand what \( \frac{7}{3} \) miles is, we can convert this into a mixed number:

\[
\frac{7}{3} = 2 \frac{1}{3}
\]

Therefore, the length of the cityscape bike path is

\[
2 \frac{1}{3} \text{ miles}.
\]