Questions: Approximately of the house is devoted to the sleeping area, which 1 / 2 1 / 4 1 / 3 3 / 4

Transcript text: Approximately $\qquad$ of the house is devoted to the sleeping area, which $1 / 2$ $1 / 4$ $1 / 3$ $3 / 4$

Solution

Solution Steps

To determine which fraction of the house is devoted to the sleeping area, we need to compare the given fractions and identify the one that best fits the context provided.

Step 1: Identify the Given Fractions

The fractions representing the portion of the house devoted to the sleeping area are: \[ \frac{1}{2}, \quad \frac{1}{4}, \quad \frac{1}{3}, \quad \frac{3}{4} \]

Step 2: Convert to Decimal Form

Converting these fractions to decimal form gives us: \[ \frac{1}{2} = 0.5, \quad \frac{1}{4} = 0.25, \quad \frac{1}{3} \approx 0.3333, \quad \frac{3}{4} = 0.75 \]

Step 3: Determine the Largest Fraction

Among the decimal values, the largest fraction is: \[ 0.75 \quad \text{which corresponds to} \quad \frac{3}{4} \]