Question

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

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%