Find: a. `12 xx (5)/(24)`

Options

A. `2(1)/(2)`
B. `2(5)/(7)`
C. `9(1)/(2)`
D. `15(1)/(2)`

Answer

To solve the problem \( 12 \times \frac{5}{24} \), we can follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ 12 \times \frac{5}{24} \]

### Step 2: Rewrite the whole number as a fraction
We can rewrite the whole number \( 12 \) as a fraction:
\[ \frac{12}{1} \times \frac{5}{24} \]

### Step 3: Multiply the fractions
Now, we multiply the numerators and the denominators:
\[ \frac{12 \times 5}{1 \times 24} = \frac{60}{24} \]

### Step 4: Simplify the fraction
Next, we simplify the fraction \( \frac{60}{24} \). We can find the greatest common divisor (GCD) of 60 and 24, which is 12. Now we divide both the numerator and the denominator by 12:
\[ \frac{60 \div 12}{24 \div 12} = \frac{5}{2} \]

### Step 5: Convert to a mixed number (if needed)
The fraction \( \frac{5}{2} \) can also be expressed as a mixed number:
\[ 2 \frac{1}{2} \]
But since the question does not specify, we can leave it as \( \frac{5}{2} \).

### Final Answer
Thus, the final answer is:
\[ \frac{5}{2} \]

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