What is the decimal representation of the slope 8/3?

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Multiple Choice

What is the decimal representation of the slope 8/3?

Explanation:
Converting a fraction to a decimal and recognizing repeating decimals. The slope 8/3 equals 2 with a remainder of 2, so it’s 2 plus 2/3, and 2/3 is 0.6666… giving 2.6666… without end. Since decimals are often written with a finite number of digits, the finite option that best matches is 2.6667 when rounded to four decimal places (the fifth decimal is 6, so we round up). The other numbers correspond to different fractions (for example, 2.5 is 5/2, 2.75 is 11/4, and 3.0 is 3), so they’re not equal to 8/3.

Converting a fraction to a decimal and recognizing repeating decimals. The slope 8/3 equals 2 with a remainder of 2, so it’s 2 plus 2/3, and 2/3 is 0.6666… giving 2.6666… without end. Since decimals are often written with a finite number of digits, the finite option that best matches is 2.6667 when rounded to four decimal places (the fifth decimal is 6, so we round up). The other numbers correspond to different fractions (for example, 2.5 is 5/2, 2.75 is 11/4, and 3.0 is 3), so they’re not equal to 8/3.

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