Final answer:
Colton rode 50.4 miles after simplifying the multiplication by acknowledging that 9 and 10 have no common factors greater than 1. Other problems provided would require unit conversion or application of scale factors specific to each scenario.
Step-by-step explanation:
The student is asking a mathematics question involving proportional reasoning and unit conversion. In order to determine how far Colton rode his bike, we must calculate the fraction of the total distance he traveled. This involves multiplying the total distance (56 miles) by the fraction of that distance he rode (9/10).
To simplify the multiplication between 56 miles and 9/10, we can divide out common factors. We can divide the numerator 9 and the denominator 10 by the common factor of 1 because 9 and 10 do not have common factors greater than 1. Then we proceed with the multiplication:
56 * (9/10) = (56 * 9) / 10
504 / 10 = 50.4
Thus, Colton rode 50.4 miles.
Regarding the other problems provided, they would first require some additional conversion of units. For example, if the distance from Calvin's house to the park is 40 meters, the distance in centimeters would be:
40 meters * 100 centimeters/meter = 4000 centimeters.
Since each of the questions involves a different scale or situation, the proportions and conversions would need to be handled on a case-by-case basis, applying the relevant conversions between units or scale factors as needed.