9 runners take part in a relay event. they each run 3/5of a kilometer, how far do they run as a mixed fraction

1 answer

To find the total distance run by the 9 runners, we first need to calculate the distance each runner runs, which is \( \frac{3}{5} \) of a kilometer.

The total distance for all 9 runners can be calculated by multiplying their individual distance by the number of runners:

\[ \text{Total distance} = 9 \times \frac{3}{5} \]

To multiply, we can convert 9 to a fraction as follows:

\[ 9 = \frac{9}{1} \]

Now we multiply the fractions:

\[ \text{Total distance} = \frac{9}{1} \times \frac{3}{5} = \frac{9 \times 3}{1 \times 5} = \frac{27}{5} \]

Next, we need to convert \( \frac{27}{5} \) into a mixed fraction. To do this, we divide the numerator (27) by the denominator (5):

\[ 27 \div 5 = 5 \quad \text{with a remainder of } 2 \]

This means \( 27 = 5 \times 5 + 2 \), so we can express \( \frac{27}{5} \) as a mixed fraction:

\[ \frac{27}{5} = 5 \frac{2}{5} \]

Thus, the total distance run by the 9 runners is:

\[ \boxed{5 \frac{2}{5}} \] kilometers.