A hiker ascended 3/4 of a kilometer in 1/16 of an hour. What was the mountain hikers accent rate in kilometers per hour kph

To find the hiker's ascent rate in kilometers per hour (kph), we need to divide the distance ascended (3/4 of a kilometer) by the time it took (1/16 of an hour).

Distance / Time = Ascend rate

In this case, the equation becomes:

(3/4 kilometer) / (1/16 hour) = Ascend rate

To divide fractions, we invert the divisor and multiply:

(3/4 kilometer) * (16/1 hour) = Ascend rate

Multiply the numerators and denominators:

(3 * 16) / (4 * 1) = Ascend rate

48 / 4 = Ascend rate

The hiker's ascent rate is 48/4, which simplifies to 12 kilometers per hour (kph).