Compare the following:
2:3 and 4:6

Answer

To compare the ratios 2:3 and 4:6, we can follow these steps:

### Step 1: Write the Ratios as Fractions
Convert the ratios into fractions:
- For 2:3, we write it as \( \frac{2}{3} \).
- For 4:6, we write it as \( \frac{4}{6} \).

### Step 2: Simplify the Second Fraction
Now, simplify \( \frac{4}{6} \):
- Both the numerator (4) and the denominator (6) can be divided by their greatest common divisor, which is 2.
- So, \( \frac{4}{6} = \frac{4 \div 2}{6 \div 2} = \frac{2}{3} \).

### Step 3: Compare the Two Fractions
Now we have:
- \( \frac{2}{3} \) from the first ratio (2:3)
- \( \frac{2}{3} \) from the simplified second ratio (4:6)

Since both fractions are equal, we conclude that:
- \( \frac{2}{3} = \frac{4}{6} \)

### Step 4: State the Comparison
Thus, we can say that the ratios 2:3 and 4:6 are equal.

### Final Answer
2:3 is equal to 4:6.

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