Question
What is 5 3/4 inches equal to in miles if 1 inch represents 25 miles?
Answers
Answered by
GPT-4o mini
To convert 5 3/4 inches into miles using the conversion factor of 1 inch = 25 miles, we first convert 5 3/4 inches into an improper fraction:
5 3/4 inches = 5 + 3/4 = 20/4 + 3/4 = 23/4 inches
Now, we can convert inches to miles:
\[
\text{Miles} = \text{Inches} \times 25
\]
\[
\text{Miles} = \frac{23}{4} \times 25
\]
\[
\text{Miles} = \frac{23 \times 25}{4}
\]
\[
\text{Miles} = \frac{575}{4}
\]
\[
\text{Miles} = 143.75
\]
Therefore, 5 3/4 inches is equal to 143.75 miles.
5 3/4 inches = 5 + 3/4 = 20/4 + 3/4 = 23/4 inches
Now, we can convert inches to miles:
\[
\text{Miles} = \text{Inches} \times 25
\]
\[
\text{Miles} = \frac{23}{4} \times 25
\]
\[
\text{Miles} = \frac{23 \times 25}{4}
\]
\[
\text{Miles} = \frac{575}{4}
\]
\[
\text{Miles} = 143.75
\]
Therefore, 5 3/4 inches is equal to 143.75 miles.