Convert the repeating decimal 0.333... to a fraction.

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Convert the repeating decimal 0.333... to a fraction.

Explanation:
A repeating decimal can be written as a fraction by turning it into an equation. Let x be the decimal 0.333... Then multiplying by 10 shifts the repeating part: 10x = 3.333.... Subtracting the original x cancels the repeating part: 10x − x = 9x = 3, so x = 3/9 = 1/3. Therefore 0.333... equals 1/3. For quick checks, 1/6 equals 0.1666..., 2/3 equals 0.6666..., and 3/8 equals 0.375, none of which match the repeating 0.333....

A repeating decimal can be written as a fraction by turning it into an equation. Let x be the decimal 0.333... Then multiplying by 10 shifts the repeating part: 10x = 3.333.... Subtracting the original x cancels the repeating part: 10x − x = 9x = 3, so x = 3/9 = 1/3. Therefore 0.333... equals 1/3.

For quick checks, 1/6 equals 0.1666..., 2/3 equals 0.6666..., and 3/8 equals 0.375, none of which match the repeating 0.333....

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy