Question

higher order thinking kayla walked \\(\frac{5}{4}\\) miles from home to school. then, she walked \\(\frac{7}{4}\\) miles from school to the store and \\(\frac{5}{2}\\) miles from the store to the library. how many miles did kayla walk from school to the library?

Explanation:

Step1: Identify the relevant distances

The distance from school to store is $\frac{7}{4}$ miles and from store to library is $\frac{5}{2}$ miles. We need to add these two distances to find the distance from school to library.

Step2: Convert to common denominator

Convert $\frac{5}{2}$ to fourths: $\frac{5}{2}=\frac{5\times2}{2\times2}=\frac{10}{4}$

Step3: Add the fractions

Add $\frac{7}{4}$ and $\frac{10}{4}$: $\frac{7 + 10}{4}=\frac{17}{4}$

Step4: Convert to mixed number (optional)

$\frac{17}{4}=4\frac{1}{4}$

Answer:

$4\frac{1}{4}$ miles (or $\frac{17}{4}$ miles)