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$ echo 'scale=10; 1/3*3;'|bc
.9999999999

A work in progress, rounding functions for POSIX bc.

/* DTPD */
define round(x,dec) {
  oscale = scale;
  x = x * (10 ^ dec);
  scale = 0;
  tmp = x / 1;
  if (x-tmp >= 0.5) {
    x = tmp + 1 ;
  } else {
    x = tmp ;
  }
  scale = oscale;
  x = x / (10 ^ dec);
  return x;
}
define round(x) {
  oscale = scale;
  dec = oscale-1;
  x = x * (10 ^ dec);
  scale = 0;
  tmp = x / 1;
  if (x-tmp >= 0.5) {
    x = tmp + 1 ;
  } else {
    x = tmp ;
  }
  scale = oscale;
  x = x / (10 ^ dec);
  return x;
}