Question

1. on tuesday, pierce ran (\frac{3}{4}) mile and walked (\frac{3}{4}) mile. on wednesday, he ran (\frac{2}{4}) mile and walked (1\frac{1}{4}) miles. how much farther did pierce run and walk on wednesday than on tuesday? explain.

Explanation:

Step1: Calculate total on Tuesday

Pierce ran $\frac{3}{4}$ mile and walked $\frac{3}{4}$ mile on Tuesday. Total distance: $\frac{3}{4} + \frac{3}{4} = \frac{6}{4} = \frac{3}{2}$ miles.

Step2: Calculate total on Wednesday

He ran $\frac{2}{4}$ mile and walked $1\frac{1}{4}$ miles (which is $\frac{5}{4}$ miles) on Wednesday. Total distance: $\frac{2}{4} + \frac{5}{4} = \frac{7}{4}$ miles.

Step3: Find the difference

Subtract Tuesday's total from Wednesday's total: $\frac{7}{4} - \frac{3}{2} = \frac{7}{4} - \frac{6}{4} = \frac{1}{4}$ mile.

Answer:

Pierce ran and walked $\frac{1}{4}$ mile farther on Wednesday than on Tuesday.