9/4 as a decimal

How to convert this fraction

Divide 9 by 4 using integer long division. The whole-number part is 2; the remaining fraction is 1/4.

1. Bring down a zero: remainder × 10 gives the next decimal digit 2; the new remainder is 2.
2. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 0.

The remainder reaches zero after 2 decimal places, so 9/4 = 2.25 exactly.

As a mixed-number decomposition: 9/4 = 2 + 1/4.

Check: 2 × 4 + 1 = 9, so the quotient and remainder reconstruct the original fraction.