The decimal number 0.5625 can be expressed as a fraction in its simplest form. This process involves converting the decimal into a fraction by following a series of 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.
To begin, we identify the decimal part of the number, which is 0.5625. Next, we multiply this decimal by 1000 to shift the decimal point three places to the right, resulting in 562.5. This new number is then rounded to the nearest whole number, giving us 563.
Now, we can express 0.5625 as a fraction by writing it as 562.5/1000. However, this fraction is not in its simplest form. To simplify it, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 125. This results in the simplified fraction of 225/400.
Further simplification is possible by dividing both the numerator and the denominator by their GCD, which is 25. This gives us the final simplified fraction of 9/16.
Therefore, 0.5625 as a fraction is 9/16. This conversion is useful in various mathematical contexts, such as when performing calculations with fractions or when comparing decimal and fractional representations of numbers.
The key benefit of expressing 0.5625 as a fraction is that it allows for easier mathematical operations and comparisons, making it a valuable skill in both basic arithmetic and more advanced mathematical concepts.
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