0.6 Of a number is equal to 0.08 of another number .The ratio of the numbers will be:

Options

A. `3:4`
B. `4:3`
C. `2:15`
D. `2:9`

Answer

To solve the problem step by step, we will denote the first number as \( a \) and the second number as \( b \).

### Step 1: Set up the equation based on the problem statement.
According to the question, we know that:
\[ 0.6a = 0.08b \]

### Step 2: Rearrange the equation to find the ratio \( \frac{a}{b} \).
To find the ratio \( \frac{a}{b} \), we can rearrange the equation:
\[ \frac{a}{b} = \frac{0.08}{0.6} \]

### Step 3: Simplify the fraction \( \frac{0.08}{0.6} \).
To simplify this fraction, we can eliminate the decimals. We can multiply both the numerator and the denominator by 100 to convert them into whole numbers:
\[ \frac{0.08 \times 100}{0.6 \times 100} = \frac{8}{60} \]

### Step 4: Further simplify \( \frac{8}{60} \).
Now, we can simplify \( \frac{8}{60} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
\[ \frac{8 \div 4}{60 \div 4} = \frac{2}{15} \]

### Step 5: Write the final ratio.
Thus, the ratio of the numbers \( a \) to \( b \) is:
\[ \frac{a}{b} = \frac{2}{15} \]
This means the ratio of the first number to the second number is \( 2:15 \).

### Final Answer:
The ratio of the numbers is \( 2:15 \).