Which decimal is most nearly equal to a bend radius of 31/64?

Which decimal is most nearly equal to a bend radius of 31/64?

• A. 0.5000
• B. 0.4687
• C. 0.4844
• D. 0.5225

Answer: (C)

Understanding how to turn a fraction into a decimal helps you compare values quickly. For 31/64, the denominator is a power of two, so the decimal terminates. In fact, 31/64 equals 0.484375. When you round to four decimal places, it becomes 0.4844. Now compare the four options by how close they are to 0.484375: - 0.5000 is about 0.0156 away. - 0.4687 is about 0.0157 away. - 0.4844 is about 0.000025 away. - 0.5225 is about 0.0381 away. The smallest difference is with 0.4844, which is just the four-decimal rounding of 0.484375. That’s why it’s the best match.

Understanding how to turn a fraction into a decimal helps you compare values quickly. For 31/64, the denominator is a power of two, so the decimal terminates. In fact, 31/64 equals 0.484375. When you round to four decimal places, it becomes 0.4844.

Now compare the four options by how close they are to 0.484375:

• 0.5000 is about 0.0156 away.

• 0.4687 is about 0.0157 away.

• 0.4844 is about 0.000025 away.

• 0.5225 is about 0.0381 away.

The smallest difference is with 0.4844, which is just the four-decimal rounding of 0.484375. That’s why it’s the best match.