9/8 as a decimal

How to convert this fraction

Divide 9 by 8 using integer long division. The whole-number part is 1; the remaining fraction is 1/8.

1. Bring down a zero: remainder × 10 gives the next decimal digit 1; the new remainder is 2.
2. Bring down a zero: remainder × 10 gives the next decimal digit 2; the new remainder is 4.
3. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 0.

The remainder reaches zero after 3 decimal places, so 9/8 = 1.125 exactly.

As a mixed-number decomposition: 9/8 = 1 + 1/8.

Check: 1 × 8 + 1 = 9, so the quotient and remainder reconstruct the original fraction.