Kathy walked 3 1/2 miles per hour for 1 1/4 hours. During 1/2 of her walking time it rained. How many miles did she walk while it was raining?

Answer:
2 3/16 mi
Step-by-step explanation:
Given data:
3 1/2 = 3 + 1/2 = 6/2 + 1/2 = 7/2
1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4
We can find the distance (d) walked using the following expression.
d = v × t = (7/2 mi/h) × 5/4 h = 35/8 mi
If it rained during 1/2 of her walking, we have to multiply the distance by 1/2.
1/2 × 35/8 mi = 35/16 mi = (3 + 32)/16 mi = 3/16 mi + 32/16 mi = 3/16 mi + 2 mi = 2 3/16 mi