Question

Used to given tables to compare the ratio 7 to 9 and 4 to 6

Answer 1

To compare the ratios 7 to 9 and 4 to 6 using tables, we first convert both ratios to their simplest forms and then create a comparison.

### Step 1: Simplify the Ratios

1. **Ratio 7 to 9**
- This ratio is already in its simplest form.
- As a fraction: \( \frac{7}{9} \)

2. **Ratio 4 to 6**
- Simplifying \( \frac{4}{6} \):
- Divide both numerator and denominator by their greatest common divisor, which is 2.
- \( \frac{4 \div 2}{6 \div 2} = \frac{2}{3} \)

### Step 2: Create a Comparison Table

| Ratio | Fraction | Decimal (approximate) | Equivalent Decimals |
|--------------|----------|-----------------------|----------------------|
| 7 to 9 | 7/9 | 0.777... | ~0.78 |
| 4 to 6 | 2/3 | 0.666... | ~0.67 |

### Conclusion

From the comparison table:

- **Ratio 7 to 9 (0.777...)** is greater than **Ratio 4 to 6 (0.666...)**.
- Thus, \( \frac{7}{9} > \frac{2}{3} \).

You can use this table as a visual aid to analyze the ratios clearly.