diff --git a/Lib/test/test_tcl.py b/Lib/test/test_tcl.py
index 5863dd5..dfad319 100644
--- a/Lib/test/test_tcl.py
+++ b/Lib/test/test_tcl.py
@@ -210,14 +210,19 @@
             result.append(arg)
             return arg
         self.interp.createcommand('testfunc', testfunc)
-        def check(value, expected, conv=lambda x: x):
+        def check(value, expected, eq=self.assertEqual):
             del result[:]
             r = self.interp.call('testfunc', value)
             self.assertEqual(len(result), 1)
             self.assertIsInstance(result[0], str)
-            self.assertEqual(conv(result[0]), expected)
+            eq(result[0], expected)
             self.assertIsInstance(r, str)
-            self.assertEqual(conv(r), expected)
+            eq(r, expected)
+        def float_eq(actual, expected):
+            self.assertAlmostEqual(float(actual), float(expected))
+        def nan_eq(actual, expected):
+            actual = float(actual)
+            self.assertNotEqual(actual, actual)
 
         check(True, '1')
         check(False, '0')
@@ -226,13 +231,14 @@
         check('string\u20ac', 'string\u20ac')
         for i in (0, 1, -1, 2**31-1, -2**31):
             check(i, str(i))
-        for f in (0.0, 1.0, -1.0, 1/3,
-                  sys.float_info.min, sys.float_info.max,
+        for f in (0.0, 1.0, -1.0):
+            check(f, repr(f))
+        for f in (1/3.0, sys.float_info.min, sys.float_info.max,
                   -sys.float_info.min, -sys.float_info.max):
-            check(f, f, conv=float)
-        check(float('inf'), float('inf'), conv=float)
-        check(-float('inf'), -float('inf'), conv=float)
-        check(float('nan'), 'NaN')
+            check(f, f, eq=float_eq)
+        check(float('inf'), 'Inf', eq=float_eq)
+        check(-float('inf'), '-Inf', eq=float_eq)
+        check(float('nan'), 'NaN', eq=nan_eq)
         check((), '')
         check((1, (2,), (3, 4), '5 6', ()), '1 2 {3 4} {5 6} {}')