If 4854.3 `divide` 3.3 = 1471, then 48.543 `divide` 33 is equal to whom?

Options

A. 1.471
B. 14.71
C. 147.1
D. 0.1471

Answer

To solve the problem, we will start by understanding the relationship between the two divisions given in the question.

### Step 1: Understand the relationship between the two divisions
We know that:
\[ 4854.3 \div 3.3 = 1471 \]

### Step 2: Rewrite the second division
We need to find:
\[ 48.543 \div 33 \]

### Step 3: Adjust the numbers to eliminate the decimal
To make the division easier, we can multiply both the numerator and denominator of \( 48.543 \div 33 \) by 1000 to eliminate the decimal:
\[ 48.543 \div 33 = \frac{48.543 \times 1000}{33 \times 1000} = \frac{48543}{33000} \]

### Step 4: Relate the two divisions
Now, we can relate this to the first division:
\[ \frac{48543}{33000} = \frac{48543 \div 3.3}{33000 \div 3.3} \]
Since \( 3.3 \) is the same in both cases, we can use the result from the first division:
\[ \frac{48543}{33000} = \frac{4854.3 \div 3.3}{33} \]

### Step 5: Substitute the known value
From the first division, we know:
\[ 4854.3 \div 3.3 = 1471 \]
Thus, we can substitute this value into our equation:
\[ \frac{48543}{33000} = \frac{1471}{10} \]
This is because we multiplied the numerator by 10 to adjust for the decimal.

### Step 6: Calculate the final result
Now, we can calculate:
\[ \frac{1471}{10} = 147.1 \]

### Conclusion
Thus, the value of \( 48.543 \div 33 \) is:
\[ 1.471 \]