diff --git a/Tests/images/iptc_roundDown.jpg b/Tests/images/iptc_roundDown.jpg
deleted file mode 100644
index f98206f1826..00000000000
Binary files a/Tests/images/iptc_roundDown.jpg and /dev/null differ
diff --git a/Tests/test_file_jpeg.py b/Tests/test_file_jpeg.py
index ab799c13fb7..eb566e68730 100644
--- a/Tests/test_file_jpeg.py
+++ b/Tests/test_file_jpeg.py
@@ -656,15 +656,6 @@ def test_save_tiff_with_dpi(self, tmp_path):
                 reloaded.load()
                 assert im.info["dpi"] == reloaded.info["dpi"]
 
-    def test_load_dpi_rounding(self):
-        # Round up
-        with Image.open("Tests/images/iptc_roundUp.jpg") as im:
-            assert im.info["dpi"] == (44, 44)
-
-        # Round down
-        with Image.open("Tests/images/iptc_roundDown.jpg") as im:
-            assert im.info["dpi"] == (2, 2)
-
     def test_save_dpi_rounding(self, tmp_path):
         outfile = str(tmp_path / "temp.jpg")
         with Image.open("Tests/images/hopper.jpg") as im:
diff --git a/src/PIL/JpegImagePlugin.py b/src/PIL/JpegImagePlugin.py
index f449a2dc0e0..6d4bc70c5f1 100644
--- a/src/PIL/JpegImagePlugin.py
+++ b/src/PIL/JpegImagePlugin.py
@@ -33,6 +33,7 @@
 #
 import array
 import io
+import math
 import os
 import struct
 import subprocess
@@ -162,15 +163,17 @@ def APP(self, marker):
                 dpi = float(x_resolution[0]) / x_resolution[1]
             except TypeError:
                 dpi = x_resolution
+            if math.isnan(dpi):
+                raise ValueError
             if resolution_unit == 3:  # cm
                 # 1 dpcm = 2.54 dpi
                 dpi *= 2.54
-            self.info["dpi"] = int(dpi + 0.5), int(dpi + 0.5)
+            self.info["dpi"] = dpi, dpi
         except (KeyError, SyntaxError, ValueError, ZeroDivisionError):
             # SyntaxError for invalid/unreadable EXIF
             # KeyError for dpi not included
             # ZeroDivisionError for invalid dpi rational value
-            # ValueError for x_resolution[0] being an invalid float
+            # ValueError for dpi being an invalid float
             self.info["dpi"] = 72, 72