Answer: 0.5625 as a fraction is 9/16​.

To convert the decimal 0.5625 to a fraction, you first consider its place value. 0.5625 has four decimal places, which places the last digit in the ten-thousandth position. Therefore, you can write 0.5625 as 5625/1000. This fraction can then be simplified.

To simplify 5625/10000​, you find the highest common factor (HCF) of 5625 and 10000. The HCF of 5625 and 10000 is 625.

Then, you divide both the numerator and the denominator by this HCF:

5625 ÷ 625 = 169​

So, 0.5625 as a fraction in its simplest form is 9/16​.

This conversion is a fundamental aspect of understanding numbers in mathematics. Decimals and fractions are two different ways to represent the same concept: parts of a whole. Converting between these forms is a common task in various fields, including mathematics, science, and engineering. Understanding how to make these conversions is essential for problem-solving and for interpreting data accurately.