A hiker ascended 3/4

Question

of a kilometer in 1/16
of an hour. What was the mountain hiker's ascent rate in kilometers per hour?



What process will you use to solve this problem?

(1 point)
Responses

3/4−1/16
3 fourths minus 1 over 16

3/4×1/16
3 fourths times 1 over 16

3/4÷1/16
3 fourths divided by 1 over 16

1/16÷3/4
1 over 16 divided by 3 fourths
Question 2
What was the mountain hiker's ascent rate in kilometers per hour?(1 point)
kilometers per hour
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Answer 1

To find the ascent rate in kilometers per hour, you will need to divide the distance ascended by the time taken. The appropriate process to use in this case is:

3/4 ÷ 1/16

This means you're dividing the distance (3/4 kilometer) by the time (1/16 hour) to find the rate in kilometers per hour.

Now, let's calculate that:

1. Dividing fractions:
   To divide fractions, you multiply by the reciprocal. Therefore, you can express \( \frac{3}{4} ÷ \frac{1}{16} \) as \( \frac{3}{4} \times \frac{16}{1} \).

2. Calculating the product:
   \[ \frac{3}{4} \times 16 = \frac{3 \times 16}{4} = \frac{48}{4} = 12 \]

So, the mountain hiker's ascent rate is 12 kilometers per hour.