diff --git a/freezegun/api.py b/freezegun/api.py
index d235292..4103baf 100644
--- a/freezegun/api.py
+++ b/freezegun/api.py
@@ -335,6 +335,27 @@ def __sub__(self, other: Any) -> "FakeDate":  # type: ignore
         else:
             return result  # type: ignore
 
+    def __le__(self, other) -> bool:
+        if isinstance(other, real_date) and not isinstance(other, real_datetime):
+            return real_date.__le__(self, other)
+        return NotImplemented
+
+    def __lt__(self, other) -> bool:
+        if isinstance(other, real_date) and not isinstance(other, real_datetime):
+            return real_date.__lt__(self, other)
+        return NotImplemented
+
+    def __ge__(self, other) -> bool:
+        if isinstance(other, real_date) and not isinstance(other, real_datetime):
+            return real_date.__ge__(self, other)
+        return NotImplemented
+
+    def __gt__(self, other) -> bool:
+        if isinstance(other, real_date) and not isinstance(other, real_datetime):
+            return real_date.__gt__(self, other)
+        return NotImplemented
+
+
     @classmethod
     def today(cls: Type["FakeDate"]) -> "FakeDate":
         result = cls._date_to_freeze() + cls._tz_offset()
diff --git a/tests/test_datetimes.py b/tests/test_datetimes.py
index b75ad3b..ead1329 100644
--- a/tests/test_datetimes.py
+++ b/tests/test_datetimes.py
@@ -2,6 +2,7 @@
 import calendar
 import datetime
 import fractions
+import itertools
 import unittest
 import locale
 import sys
@@ -826,3 +827,36 @@ def test_datetime_in_timezone(monkeypatch: pytest.MonkeyPatch) -> None:
             assert datetime.datetime.now() == datetime.datetime(1970, 1, 1, 1, 0, 0)
     finally:
         time.tzset()  # set the timezone back to what is was before
+
+
+def test_cannot_compare_date_and_datetime() -> None:
+    std_date = datetime.date(2012, 1, 14)
+    std_datetime = datetime.datetime(2012, 1, 14, 12, 0, 0)
+    fake_date = FakeDate(2012, 1, 15)
+    fake_datetime = FakeDatetime(2012, 1, 14, 12, 1, 0)
+
+    assert std_date < fake_date
+    assert std_datetime < fake_datetime
+
+    d_objs = (std_date, fake_date)
+    dt_objs = (std_datetime, fake_datetime)
+
+    for base, diff in itertools.chain(
+        itertools.product(d_objs, dt_objs), itertools.product(dt_objs, d_objs)
+    ):
+        with pytest.raises(TypeError):
+            _ = base < diff
+        with pytest.raises(TypeError):
+            _ = base <= diff
+        with pytest.raises(TypeError):
+            _ = base > diff
+        with pytest.raises(TypeError):
+            _ = base >= diff
+
+    for base, same in itertools.chain(
+        itertools.product(d_objs, d_objs), itertools.product(dt_objs, dt_objs)
+    ):
+        _ = base < same
+        _ = base <= same
+        _ = base > same
+        _ = base >= same