Question

Hallie bikes 1 5/8 km before lunch 6 1/4 km How much farther does hallies bike after lunch than before lunch? Express your answer as a mixed number in simplest form. Enter your answer in the box.

Answer 1

Distance biked before lunch = 1$\frac{5}{8}$ km (the number is written in mixed fraction)

⇒ Distance biked before lunch = $\frac{13}{8}$

Distance biked after lunch = 6$\frac{1}{4}$ km (the number is written in mixed fraction)

⇒ Distance biked after lunch = $\frac{25}{4}$

We need to determine how much farther does Hallie bike after lunch than before lunch

Extra distance biked after lunch vs. before lunch = $\frac{25}{4}$ - $\frac{13}{8}$

⇒ Extra distance biked after lunch vs. before lunch = $\frac{50-13}{8}$

⇒ Extra distance biked after lunch vs. before lunch = $\frac{37}{8}$

⇒ Extra distance biked after lunch vs. before lunch = 4$\frac{5}{8}$ (in mixed fraction)

Hence, Hallie biked 4$\frac{5}{8}$ km extra after lunch vs. before lunch.