The decimal number .0625 can be expressed as a fraction in its simplest form. This process involves converting the decimal into a fraction by following a few mathematical steps. Understanding how to convert decimals to fractions is a fundamental skill in mathematics, as it allows for easier comparison and manipulation of numbers in various contexts.
To begin, we identify the decimal part of the number, which is .0625. Next, we place this decimal part over a power of 10 that matches the number of decimal places. In this case, since there are three decimal places, we use 1000 as the denominator. This gives us the fraction 625/1000.
However, this fraction is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 625 and 1000 is 125. Dividing both the numerator and the denominator by 125, we get 5/8.
Therefore, .0625 in fraction form is 5/8, which represents a simple and concise way to express this decimal value.