The decimal number .5625 can be expressed as a fraction in its simplest form. This process involves converting the decimal into a fraction by placing the decimal portion over a power of 10 and then simplifying the resulting fraction. In this case, .5625 can be written as 5625/10000, which can be further simplified.
To simplify the fraction, we look for the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 5625 and 10000 is 625. Dividing both the numerator and the denominator by 625, we get 9/16 as the simplified fraction.
This conversion is useful in various mathematical and real-world applications, such as in finance for representing monetary values or in engineering for precise measurements. Understanding how to convert decimals to fractions is a fundamental skill in mathematics, offering a more intuitive way to work with numbers and their relationships.
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