Questions: Shade the second figure so that it expresses a fraction equivalent to the first figure.

$Shade the second figure so that it expresses a fraction equivalent to the first figure.$

Transcript text: Shade the second figure so that it expresses a fraction equivalent to the first figure.

Solution

Solution Steps

Step 1: Identify the Fraction in the First Figure

The first figure is divided into 4 equal parts, with 2 parts shaded. This represents the fraction 2/4.

Step 2: Simplify the Fraction

Simplify the fraction 2/4 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. \[ \frac{2}{4} = \frac{1}{2} \]

Step 3: Find the Equivalent Fraction in the Second Figure

We need to find the option in the second figure that represents the fraction 1/2. The second figure is divided into 8 equal parts. To represent 1/2, half of these parts should be shaded. \[ \frac{1}{2} \text{ of 8 parts} = 4 \text{ parts shaded} \]