Question

lena skied downhill at a steady speed on a 3 - mile slope. she reached the bottom of the slope in \\(\frac{1}{4}\\) hour. lena wants to know her speed in miles per hour. which fraction represents lenas speed in miles per hour? \\(\frac{3}{\frac{1}{4}}\\) what is lenas speed in miles per hour? \\(\frac{3}{\frac{1}{4}} = \square\\)

Explanation:

Step1: Recall speed formula

Speed = $\frac{\text{Distance}}{\text{Time}}$

Step2: Substitute given values

Distance = 3 miles, Time = $\frac{1}{4}$ hour. So speed is $\frac{3}{\frac{1}{4}}$.

Step3: Simplify the complex fraction

Dividing by a fraction = multiplying by its reciprocal: $\frac{3}{\frac{1}{4}} = 3 \times 4$

Step4: Calculate the final value

$3 \times 4 = 12$

Answer:

1. The fraction representing Lena's speed is $\frac{3}{\frac{1}{4}}$
2. Lena's speed in miles per hour is 12