What is the decimal that is most nearly equal to 77/64?

What is the decimal that is most nearly equal to 77/64?

• A. 1.1031
• B. 1.2031
• C. 1.3031
• D. 1.4031

Answer: (B)

To find the decimal equivalent of the fraction 77/64, you divide 77 by 64. The calculation yields approximately 1.203125. When looking for the decimal that is most nearly equal to this result, the closest option provided is 1.2031. This process of division shows that the numerator (77) is slightly more than one and a quarter times the denominator (64). Understanding the relationship between the numerator and the denominator helps identify the correct answer. The other options represent values that are either larger or smaller than 1.203125, but do not closely match the computed decimal, making them less suitable choices.

To find the decimal equivalent of the fraction 77/64, you divide 77 by 64. The calculation yields approximately 1.203125. When looking for the decimal that is most nearly equal to this result, the closest option provided is 1.2031.

This process of division shows that the numerator (77) is slightly more than one and a quarter times the denominator (64). Understanding the relationship between the numerator and the denominator helps identify the correct answer. The other options represent values that are either larger or smaller than 1.203125, but do not closely match the computed decimal, making them less suitable choices.