The fractional equivalent of the decimal 0.015625 is?

To understand why the fractional equivalent of the decimal 0.015625 is 1/64, it's important to convert the decimal into a fraction and simplify it.

First, recognize that 0.015625 can be expressed as a fraction by placing it over 1, which gives us 0.015625/1. To eliminate the decimal, consider that there are five decimal places, so multiply both the numerator and the denominator by 100,000 (which is 10 raised to the power of 5). This transformation yields:

0.015625 * 100,000 / 1 * 100,000 = 1562.5/100000

Next, simplify 15625/100000 by recognizing that both numbers can be divided by 15625. After simplification, this fraction becomes:

1/64.

Converting to a fraction involves finding a balance between the value of the numerator and the denominator that captures the original decimal value precisely. In this case, 0.015625 precisely corresponds to the fraction 1/64, as both represent the same quantity in different forms.

This conversion helps to clarify why the option 1/64 is the correct choice in this context, as it accurately