`551 div 29 =19` Then `5.51 div 0.0019 =?`

Options

A. `2.9`
B. `290`
C. `2900`
D. `0.29`

Answer

To solve the problem step by step, we start with the given information and then manipulate it to find the answer.

### Step 1: Understand the given equation
We know from the problem statement that:
\[ 551 \div 29 = 19 \]

### Step 2: Rewrite the division in terms of multiplication
From the division, we can express it as:
\[ 551 = 29 \times 19 \]

### Step 3: Now, we need to find \( 5.51 \div 0.0019 \)
We can rewrite \( 5.51 \) and \( 0.0019 \) in a more manageable form:
- \( 5.51 = 551 \div 100 \)
- \( 0.0019 = 19 \div 10000 \)

### Step 4: Substitute these values into the division
Now we can rewrite the division:
\[ 5.51 \div 0.0019 = \left( \frac{551}{100} \right) \div \left( \frac{19}{10000} \right) \]

### Step 5: Dividing fractions
Dividing by a fraction is the same as multiplying by its reciprocal:
\[ = \frac{551}{100} \times \frac{10000}{19} \]

### Step 6: Simplify the expression
Now we can simplify:
\[ = \frac{551 \times 10000}{100 \times 19} \]
\[ = \frac{551 \times 100}{19} \]

### Step 7: Substitute the known value
From the earlier step, we know that \( 551 \div 19 = 29 \):
\[ = 29 \times 100 \]

### Step 8: Calculate the final answer
\[ = 2900 \]

Thus, the final answer is:
\[ 5.51 \div 0.0019 = 2900 \]