What distance in miles is represented by 1 3/4 inches on a map where 3/4 inch represents one mile?

• A. 1 1/2
• B. 2 1/3
• C. 2 1/2
• D. 5 1/4

Answer: (B)

To determine the distance in miles represented by 1 3/4 inches on the map, we first need to understand the relationship provided: 3/4 inch on the map corresponds to 1 mile in reality.

To find how many "miles" are represented by 1 3/4 inches, we can set up a proportion or a simple calculation. First, convert 1 3/4 inches into an improper fraction. This gives us:

1 3/4 inches = (1 × 4 + 3)/4 = 7/4 inches.

Now, we know that 3/4 inch equals 1 mile. To find out how many miles are represented by 7/4 inches, we can divide 7/4 inches by 3/4 inch:

(7/4) ÷ (3/4) = (7/4) × (4/3) = 7/3 miles.

Next, we can convert 7/3 miles into a mixed number to see how this translates into a more familiar format:

7 ÷ 3 = 2 with a remainder of 1, which can be expressed as 2 1/3 miles.

Therefore, the distance