Question

Amara and Nikhil walk home from school together

every day.
Amara's walk is 5/8 of a mile.
Nikhil's walk is 1 1/2 miles.

How many times as far as Amara did Nikhil walk?

Answer 1

Nikhil walked 2.4 times as far as Amara; while Amara walked 5/8 of a mile, Nikhil walked 1 1/2 or 1.5 miles, which is equivalent to 12/8 of a mile.

Step-by-step explanation:

To find out how many times farther Nikhil walked than Amara, we need to compare the distances they each walked. Amara's walk is 5/8 of a mile, and Nikhil's walk is 1 1/2 (or 1.5) miles. To compare these, we need to convert Nikhil's walk into the same unit of measurement as Amara's, which is in eighths of a mile.

Since 1 mile is 8/8 of a mile, Nikhil's walk of 1 1/2 miles is the same as 12/8 of a mile (1 mile is 8/8, and 1/2 mile is 4/8, so together they are 12/8). Now we can compare the two distances: Nikhil walked 12/8 mile while Amara walked 5/8 mile.

To find out how many times farther Nikhil walked, we divide Nikhil's distance by Amara's distance: 12/8 ÷ 5/8 = 12/5, which simplifies to 2.4.

So, Nikhil walked 2.4 times as far as Amara.

Answer 2

To find the distance that Nikhil walked compared to Amara, we need to divide Nikhil's distance by Amara's distance. Nikhil's distance is 1 1/2 miles, which is equal to 1 + 1/2 = 3/2 miles. Amara's distance is 5/8 of a mile. Therefore, we can divide 3/2 by 5/8 to find the ratio of Nikhil's distance to Amara's distance:

(3/2) / (5/8) = (3/2) * (8/5) = (24/10) = 2 2/5

Therefore, Nikhil walked 2 2/5 times as far as Amara.