Which of the statement true ?
`16:24= 30:20`

Answer

To determine whether the statement \( 16:24 = 30:20 \) is true, we can follow these steps:

### Step 1: Write the Ratios as Fractions
We can express the ratios as fractions:
\[ \frac{16}{24} \quad \text{and} \quad \frac{30}{20} \]

### Step 2: Simplify the First Fraction
Now, we simplify \( \frac{16}{24} \):
- Find the greatest common divisor (GCD) of 16 and 24, which is 8.
- Divide both the numerator and the denominator by 8:
\[ \frac{16 \div 8}{24 \div 8} = \frac{2}{3} \]

### Step 3: Simplify the Second Fraction
Next, we simplify \( \frac{30}{20} \):
- The GCD of 30 and 20 is 10.
- Divide both the numerator and the denominator by 10:
\[ \frac{30 \div 10}{20 \div 10} = \frac{3}{2} \]

### Step 4: Compare the Simplified Fractions
Now we compare the two simplified fractions:
\[ \frac{2}{3} \quad \text{and} \quad \frac{3}{2} \]

### Step 5: Determine if They Are Equal
Since \( \frac{2}{3} \) is not equal to \( \frac{3}{2} \), we conclude that:
\[ 16:24 \neq 30:20 \]

### Conclusion
Thus, the statement \( 16:24 = 30:20 \) is **false**.

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