Express $(0.0439 \div 3.62)$ as a fraction.

Original question likely: 0.0439 ÷ 3.62 ... let's compute.

0.0439 ÷ 3.62 = 439/36200 ≈ 0.012127.

So the value is about 0.0121, which is close to 12/1000 = 0.012 (option C).

Step 1: Analyze the question We need to divide 0.0439 by 3.62 and express the result as a fraction. Since the options are approximations, we compare them with our decimal answer.

Step 2: Concept To divide decimals, remove the decimals by multiplying the top and bottom by the same power of 10:

0.0439 ÷ 3.62 = 0.0439 / 3.62 = 439/36200

Step 3: Solution Divide 439 by 36200:

• 36200 × 0.012 = 434.4
• Remainder: 439 − 434.4 = 4.6, and 4.6/36200 ≈ 0.000127

So 0.0439 ÷ 3.62 ≈ 0.0121.

Now compare with the options:

• A. 21/100 = 0.21 (too big)
• B. 21/1000 = 0.021 (too big)
• C. 12/1000 = 0.012 (matches ≈ 0.0121)
• D. 12/100 = 0.12 (too big)

Note: The result is not exactly 12/1000; it is 439/36200, which is about 0.0121. The question expects the nearest option, which is C.

Step 4: Answer Option C, 12/1000 (approximately).

Exam tip: When the options are not exact, estimate quickly: 0.0439 is about 0.044, and 3.62 is about 3.6, so 0.044 ÷ 3.6 ≈ 0.012. This estimate alone lets you eliminate the other options in seconds.