Select the decimal which is most nearly equal to 77/64

Select the decimal which is most nearly equal to 77/64

• A. 1.2
• B. 1.25
• C. 1.3
• D. 1.2031

Answer: (D)

Converting a fraction to a decimal and judging which decimal is closest. 77/64 can be written as 1 plus 13/64. Since 1/64 equals 0.015625, multiply by 13 to get 0.203125. So the exact decimal is 1.203125. When you compare to the given options, 1.2031 is the closest because it matches the four-decimal rounding of the exact value (difference only 0.000025). The other options are farther away: 1.2 differs by 0.003125, 1.25 by 0.046875, and 1.3 by 0.096875. Hence 1.2031 is the best match.

Converting a fraction to a decimal and judging which decimal is closest.

77/64 can be written as 1 plus 13/64. Since 1/64 equals 0.015625, multiply by 13 to get 0.203125. So the exact decimal is 1.203125. When you compare to the given options, 1.2031 is the closest because it matches the four-decimal rounding of the exact value (difference only 0.000025). The other options are farther away: 1.2 differs by 0.003125, 1.25 by 0.046875, and 1.3 by 0.096875. Hence 1.2031 is the best match.