Fraction of race remaining: A runner completes 1 and 1/4 laps of a 5-lap race. What fractional part of the race remains to be run?

Introduction / Context:This is a simple fraction-of-total problem expressed in laps. We translate completed laps to a fraction of the whole and subtract from 1.

Given Data / Assumptions:

• Total laps = 5
• Completed laps = 1.25

Concept / Approach:Remaining laps = total − completed. The remaining fraction of the race equals remaining laps divided by total laps.

Step-by-Step Solution:

Verification / Alternative check:Completed fraction = 1.25/5 = 0.25; remaining = 1 − 0.25 = 0.75 = 3/4.

Why Other Options Are Wrong:4/5, 5/6, 2/3 represent 0.8, 0.833…, 0.666…, none equals 0.75.

Common Pitfalls:Confusing “laps left” (15/4 laps) with “fraction of the race left” (3/4 of the race).

Final Answer:3⁄4