The decimal number 5.25 can be expressed as a fraction in its simplest form. This process involves converting the decimal part into a fraction and then combining it with the whole number part.

To begin, we identify the decimal part, which is 0.25. This can be written as the fraction 25/100. However, this fraction can be simplified further by dividing both the numerator and the denominator by their greatest common divisor, which is 25.

Simplifying 25/100 gives us 1/4. Now, we combine this with the whole number part, 5, to get the final fraction: 5.25 as a fraction is 25/4.

This representation of 5.25 as a fraction is useful in various mathematical contexts, especially when performing calculations that require fractions. It also allows for easier comparisons and manipulations of decimal numbers in a fractional form.

In summary, converting 5.25 to a fraction involves breaking it down into its whole and decimal parts, simplifying the decimal part to its simplest fraction form, and then combining these to create the final fraction: 25/4.