diff --git a/include/ratio b/include/ratio
index 25ab503..6ddc19b 100644
--- a/include/ratio
+++ b/include/ratio
@@ -398,11 +398,11 @@
 
 template <class _R1, class _R2>
 struct _LIBCPP_TYPE_VIS_ONLY ratio_equal
-    : public integral_constant<bool, _R1::num == _R2::num && _R1::den == _R2::den> {};
+    : public _LIBCPP_BOOL_CONSTANT((_R1::num == _R2::num && _R1::den == _R2::den)) {};
 
 template <class _R1, class _R2>
 struct _LIBCPP_TYPE_VIS_ONLY ratio_not_equal
-    : public integral_constant<bool, !ratio_equal<_R1, _R2>::value> {};
+    : public _LIBCPP_BOOL_CONSTANT((!ratio_equal<_R1, _R2>::value)) {};
 
 // ratio_less
 
@@ -461,19 +461,19 @@
 
 template <class _R1, class _R2>
 struct _LIBCPP_TYPE_VIS_ONLY ratio_less
-    : public integral_constant<bool, __ratio_less<_R1, _R2>::value> {};
+    : public _LIBCPP_BOOL_CONSTANT((__ratio_less<_R1, _R2>::value)) {};
 
 template <class _R1, class _R2>
 struct _LIBCPP_TYPE_VIS_ONLY ratio_less_equal
-    : public integral_constant<bool, !ratio_less<_R2, _R1>::value> {};
+    : public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R2, _R1>::value)) {};
 
 template <class _R1, class _R2>
 struct _LIBCPP_TYPE_VIS_ONLY ratio_greater
-    : public integral_constant<bool, ratio_less<_R2, _R1>::value> {};
+    : public _LIBCPP_BOOL_CONSTANT((ratio_less<_R2, _R1>::value)) {};
 
 template <class _R1, class _R2>
 struct _LIBCPP_TYPE_VIS_ONLY ratio_greater_equal
-    : public integral_constant<bool, !ratio_less<_R1, _R2>::value> {};
+    : public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R1, _R2>::value)) {};
 
 template <class _R1, class _R2>
 struct __ratio_gcd