Compare Fractions 1/2 and 1/4: Lunch Portion Problem

Question

Andy eats 12 \frac{1}{2} of his lunch, while Daniel eats 14 \frac{1}{4} of his.


Who eats more?

Step-by-Step Solution

To solve this problem, we need to compare the fractions 12 \frac{1}{2} and 14 \frac{1}{4} . Since both fractions have the same numerator, the fraction with the smaller denominator is the larger fraction, indicating which portion is larger.

Step-by-step, here's how it goes:

  • Step 1: Consider the fractions 12 \frac{1}{2} (Andy's portion) and 14 \frac{1}{4} (Daniel's portion).
  • Step 2: Compare these two fractions. Note that 12 \frac{1}{2} has a smaller denominator than 14 \frac{1}{4} . In terms of fractions with the same numerator (1), a smaller denominator means a larger fraction.
  • Step 3: Therefore, 12 \frac{1}{2} is greater than 14 \frac{1}{4} , meaning Andy eats more than Daniel.

Consequently, the solution to the problem is that Andy eats more.

Answer

Andy