A grid model with 50 squares. 25 squares are shaded.

Question

The grid model expressed as a ratio of shaded squares to total squares is
.
Written as an equivalent fraction, it is
.
Written as a decimal, it is
.
Written as a percent, it is
.

Answer 1

To express the ratio of shaded squares to total squares in a grid model with 50 squares, where 25 squares are shaded:

1. Ratio of shaded squares to total squares:

   • Shaded squares: 25
   • Total squares: 50
   • Ratio: 25 to 50 or \( \frac{25}{50} \)

2. Equivalent fraction:

   • The fraction \( \frac{25}{50} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 25.
   • \( \frac{25 \div 25}{50 \div 25} = \frac{1}{2} \)

3. Decimal:

   • To convert the fraction \( \frac{25}{50} \) to a decimal, divide 25 by 50:
   • \( 25 \div 50 = 0.5 \)

4. Percent:

   • To convert the decimal 0.5 to a percent, multiply by 100:
   • \( 0.5 \times 100 = 50% \)

So, summarizing all the information:

• Ratio of shaded squares to total squares: 25 to 50 or \( \frac{25}{50} \)
• Equivalent fraction: \( \frac{1}{2} \)
• Decimal: 0.5
• Percent: 50%