What is the optimal way to express 0.0625 in fractional form?

What is the optimal way to express 0.0625 in fractional form?

• A. 1/8
• B. 1/16
• C. 1/32
• D. 1/4

Answer: (B)

To express the decimal 0.0625 in fractional form, you can recognize it as a common fraction derived from its binary or decimal value. First, you could start by placing 0.0625 over 1, resulting in the fraction 0.0625/1. To eliminate the decimal, you can multiply both the numerator and denominator by 10,000 (because there are four digits to the right of the decimal in 0.0625). This gives you: 0.0625 * 10,000 / 1 * 10,000 = 625 / 10,000. Next, this fraction can be simplified by finding the greatest common divisor (GCD) of 625 and 10,000. In this case, 625 is \( 25^2 \) and 10,000 is \( 100^2 \) or \( 10^4 \). This means both can be simplified: 625 ÷ 625 = 1, 10,000 ÷ 625 = 16. This results in the simplified fraction: 1/16. Thus, the optimal way to express 0.0625 in fractional form is indeed 1/16, making it the correct answer

To express the decimal 0.0625 in fractional form, you can recognize it as a common fraction derived from its binary or decimal value. First, you could start by placing 0.0625 over 1, resulting in the fraction 0.0625/1. To eliminate the decimal, you can multiply both the numerator and denominator by 10,000 (because there are four digits to the right of the decimal in 0.0625). This gives you:

0.0625 * 10,000 / 1 * 10,000 = 625 / 10,000.

Next, this fraction can be simplified by finding the greatest common divisor (GCD) of 625 and 10,000. In this case, 625 is ( 25^2 ) and 10,000 is ( 100^2 ) or ( 10^4 ). This means both can be simplified:

625 ÷ 625 = 1,

10,000 ÷ 625 = 16.

This results in the simplified fraction:

1/16.

Thus, the optimal way to express 0.0625 in fractional form is indeed 1/16, making it the correct answer