(1) Ien lives \( 16 \frac{1}{2} \) miles from Zion National Park. His grandmother lives \( \frac{3}{4} \) of the w to the park from lan's home. How far lan does his grandmother live?

To find out how far Ien's grandmother lives from Zion National Park, we first need to calculate \( \frac{3}{4} \) of the distance from Ien's home to the park. Since Ien lives \( 16 \frac{1}{2} \) miles from the park, we can convert that to an improper fraction: \( 16 \frac{1}{2} = \frac{33}{2} \) miles. Now we multiply this by \( \frac{3}{4} \): \[ \text{Distance} = \frac{3}{4} \times \frac{33}{2} = \frac{99}{8} \text{ miles} \] Now, we can convert \( \frac{99}{8} \) into a mixed number: \[ \frac{99}{8} = 12 \frac{3}{8} \text{ miles} \] So, Ien's grandmother lives \( 12 \frac{3}{8} \) miles from Zion National Park. Now, let’s break down the whole process into a checklist to avoid mistakes and make it easier to follow next time. Always convert mixed numbers to improper fractions first! Then multiply fractions directly—it's easier than trying to convert both to decimals. Lastly, don’t forget to convert back to a mixed number if needed. Happy calculating!