diff -r cb911e1fb3dc Lib/datetime.py
--- a/Lib/datetime.py	Wed Feb 25 18:14:47 2015 +0200
+++ b/Lib/datetime.py	Wed Feb 25 14:29:21 2015 -0500
@@ -515,8 +515,9 @@
                              self._seconds * other,
                              self._microseconds * other)
         if isinstance(other, float):
+            ms = self._to_microseconds()
             a, b = other.as_integer_ratio()
-            return self * a / b
+            return timedelta(microseconds=ms * a / b)
         return NotImplemented
 
     __rmul__ = __mul__
diff -r cb911e1fb3dc Lib/test/datetimetester.py
--- a/Lib/test/datetimetester.py	Wed Feb 25 18:14:47 2015 +0200
+++ b/Lib/test/datetimetester.py	Wed Feb 25 14:29:21 2015 -0500
@@ -394,6 +394,8 @@
         eq((-3*us) * 0.5, -2*us)
         eq((-5*us) * 0.5, -2*us)
 
+        eq(td(seconds=1) * 0.123456, td(microseconds=123456))
+
         # Division by int and float
         eq((3*us) / 2, 2*us)
         eq((5*us) / 2, 2*us)