diff --git a/PIL/JpegImagePlugin.py b/PIL/JpegImagePlugin.py
index 47fb0a6df..6837ba450 100644
--- a/PIL/JpegImagePlugin.py
+++ b/PIL/JpegImagePlugin.py
@@ -131,9 +131,10 @@ def APP(self, marker):
                 # 1 dpcm = 2.54 dpi
                 dpi *= 2.54
             self.info["dpi"] = dpi, dpi
-        except (KeyError, SyntaxError):
+        except (KeyError, SyntaxError, ZeroDivisionError):
             # SyntaxError for invalid/unreadable exif
             # KeyError for dpi not included
+            # ZeroDivisionError for invalid dpi rational value
             self.info["dpi"] = 72, 72
 
 
diff --git a/Tests/images/exif-dpi-zerodivision.jpg b/Tests/images/exif-dpi-zerodivision.jpg
new file mode 100644
index 000000000..2e784cf6a
Binary files /dev/null and b/Tests/images/exif-dpi-zerodivision.jpg differ
diff --git a/Tests/test_file_jpeg.py b/Tests/test_file_jpeg.py
index 7487263d7..7f701d0f6 100644
--- a/Tests/test_file_jpeg.py
+++ b/Tests/test_file_jpeg.py
@@ -535,6 +535,16 @@ class TestFileJpeg(PillowTestCase):
         # Act / Assert
         self.assertEqual(im.info.get("dpi"), (508, 508))
 
+    def test_dpi_exif_zero_division(self):
+        # Arrange
+        # This is photoshop-200dpi.jpg with EXIF resolution set to 0/0:
+        # exiftool -XResolution=0/0 -YResolution=0/0 photoshop-200dpi.jpg
+        im = Image.open("Tests/images/exif-dpi-zerodivision.jpg")
+
+        # Act / Assert
+        # This should return the default, and not raise a ZeroDivisionError
+        self.assertEqual(im.info.get("dpi"), (72, 72))
+
     def test_no_dpi_in_exif(self):
         # Arrange
         # This is photoshop-200dpi.jpg with resolution removed from EXIF: