{"id":224104,"date":"2025-06-02T17:36:30","date_gmt":"2025-06-02T17:36:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=224104"},"modified":"2025-06-02T17:36:32","modified_gmt":"2025-06-02T17:36:32","slug":"write-0-083-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/write-0-083-as-a-fraction\/","title":{"rendered":"Write 0.083 as a fraction."},"content":{"rendered":"\n

Write 0.083 as a fraction. A) 1\/12 B) 1\/3 C) 1\/6 D) 1\/9<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct choice: A) $\\tfrac{1}{12}$<\/strong><\/p>\n\n\n\n

\n\n\n\n

Although the decimal supplied is written as 0.083<\/strong>, in most multiple-choice contexts it is understood to be the rounded form of the repeating decimal 0.083 333 \u2026<\/strong>, whose exact fractional value is $\\tfrac{1}{12}$. Here\u2019s why that interpretation makes sense and how to confirm it step by step.<\/p>\n\n\n\n

When you see a terminating decimal like 0.083, the safest procedure is to write it over a power of ten:<\/p>\n\n\n\n

$$
0.083=\\frac{83}{1000}.
$$<\/p>\n\n\n\n

If 83 and 1000 shared a common factor, we would divide by it to simplify; however, 83 is prime and does not divide 1000, so $\\tfrac{83}{1000}$ is already in lowest terms. That fraction, however, is not<\/strong> among the answer choices. The test designer therefore almost certainly expects you to recognise that the decimal has been rounded to three places rather than written in full.<\/p>\n\n\n\n

Look at the four options in decimal form:<\/p>\n\n\n\n