On dividing 93.40 by 0.015, what is the approximate answer?

Options

A. 0.6
B. 60
C. 600
D. 6000

Answer

To solve the problem of dividing 93.40 by 0.015 and finding the approximate answer, we can follow these steps:

### Step-by-Step Solution:

1. **Convert the Division into a Fraction**:
\[ \frac{93.40}{0.015} \]

2. **Eliminate the Decimal in the Denominator**:
To make calculations easier, we can multiply both the numerator and the denominator by 1000 (to eliminate the decimal in 0.015):
\[ \frac{93.40 \times 1000}{0.015 \times 1000} = \frac{93400}{15} \]

3. **Simplify the Fraction**:
Now we can simplify the fraction:
\[ \frac{93400}{15} \]

4. **Perform the Division**:
Now we divide 93400 by 15:
\[ 93400 \div 15 \]

5. **Calculate the Result**:
Performing the division:
- 15 goes into 93 six times (15 × 6 = 90), leaving a remainder of 3.
- Bring down the next digit (4), making it 34. 15 goes into 34 two times (15 × 2 = 30), leaving a remainder of 4.
- Bring down the next digit (0), making it 40. 15 goes into 40 two times (15 × 2 = 30), leaving a remainder of 10.
- Bring down the next digit (0), making it 100. 15 goes into 100 six times (15 × 6 = 90), leaving a remainder of 10.
- This process continues, but we can round off for approximation.

The result of the division is approximately:
\[ 6226.66 \ldots \]

6. **Round Off the Result**:
Since we need an approximate answer, we can round 6226.66 to the nearest thousand:
\[ \approx 6000 \]

### Final Answer:
The approximate answer to \( \frac{93.40}{0.015} \) is **6000**.

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