Compare the ratios 2:5 and 3:7.

Answer

To compare the ratios 2:5 and 3:7, we can follow these steps:

### Step 1: Convert the Ratios to Fractions
We can express the ratios as fractions:
- The ratio 2:5 can be written as \( \frac{2}{5} \).
- The ratio 3:7 can be written as \( \frac{3}{7} \).

### Step 2: Calculate the Decimal Values
Next, we will convert these fractions into decimal form:
- For \( \frac{2}{5} \):
\[ \frac{2}{5} = 0.40 \]
- For \( \frac{3}{7} \):
\[ \frac{3}{7} \approx 0.42857 \quad (\text{approximately}) \]

### Step 3: Compare the Decimal Values
Now we can compare the two decimal values:
- \( 0.40 \) (which is \( \frac{2}{5} \))
- \( 0.42857 \) (which is \( \frac{3}{7} \))

Since \( 0.42857 \) is greater than \( 0.40 \), we can conclude that:
\[ \frac{3}{7} > \frac{2}{5} \]

### Final Conclusion
Thus, the ratio \( 3:7 \) is greater than the ratio \( 2:5 \).

---