Which fraction equals 0.6667?

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Multiple Choice

Which fraction equals 0.6667?

Explanation:
Understanding that many fractions convert to decimals, and some decimals are repeating, helps here. Two-thirds equals 0.6666… (a repeating 6). When you round that to four decimal places, the fifth decimal is 6, so it rounds up to 0.6667. The other fractions give different decimals: three-fourths is 0.75, one-third is 0.3333…, and five-sevenths is about 0.714285…, none of which match 0.6667. So the fraction that best matches 0.6667 is two-thirds.

Understanding that many fractions convert to decimals, and some decimals are repeating, helps here. Two-thirds equals 0.6666… (a repeating 6). When you round that to four decimal places, the fifth decimal is 6, so it rounds up to 0.6667. The other fractions give different decimals: three-fourths is 0.75, one-third is 0.3333…, and five-sevenths is about 0.714285…, none of which match 0.6667. So the fraction that best matches 0.6667 is two-thirds.

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