To find out how many miles Dylan has driven when he is [tex]\(\frac{3}{10}\)[/tex] of the way through his journey, follow these steps:
1. Identify the total distance of the journey:
- The total distance from Penzance to Dundee is 624 miles.
2. Determine the fraction of the journey Dylan has completed:
- The fraction is [tex]\(\frac{3}{10}\)[/tex].
3. Calculate the distance driven:
- Multiply the total distance by the fraction of the journey completed:
[tex]\[
\text{Miles driven} = 624 \times \frac{3}{10}
\][/tex]
4. Perform the multiplication to find the exact distance:
- Simplifying the multiplication:
[tex]\[
\text{Miles driven} = 624 \times 0.3
\][/tex]
5. Obtain the result:
- The result of this calculation is 187.2.
Therefore, Dylan has driven 187.2 miles when he is [tex]\(\frac{3}{10}\)[/tex] of the way through his journey.