diff --git a/m3u8/parser.py b/m3u8/parser.py
index 1d04c2f5..e3ee37a5 100644
--- a/m3u8/parser.py
+++ b/m3u8/parser.py
@@ -464,6 +464,17 @@ def _parse_cueout_cont(line, state):
     if len(elements) != 2:
         return
 
+    # EXT-X-CUE-OUT-CONT:2.436/120 style
+    res = re.match(
+        r"^[-+]?([0-9]+(\.[0-9]+)?|\.[0-9]+)/[-+]?([0-9]+(\.[0-9]+)?|\.[0-9]+)$",
+        elements[1]
+    )
+    if res:
+        state["current_cue_out_elapsedtime"] = res.group(1)
+        state["current_cue_out_duration"] = res.group(3)
+        return
+
+    # EXT-X-CUE-OUT-CONT:ElapsedTime=10,Duration=60,SCTE35=... style
     cue_info = _parse_attribute_list(
         protocol.ext_x_cue_out_cont,
         line,
diff --git a/tests/playlists.py b/tests/playlists.py
index 6b850493..32ed41b9 100755
--- a/tests/playlists.py
+++ b/tests/playlists.py
@@ -737,6 +737,26 @@
 master2500_47234.ts
 """
 
+CUE_OUT_CONT_ALT_PLAYLIST = """
+#EXTM3U
+#EXT-X-VERSION:3
+#EXT-X-TARGETDURATION:7
+#EXT-X-MEDIA-SEQUENCE:19980226
+#EXT-X-DISCONTINUITY-SEQUENCE:1
+#EXT-X-CUE-OUT:119.987
+#EXTINF:2.000,
+segment_19980226.ts
+#EXT-X-CUE-OUT-CONT:2/120
+#EXTINF:6.000,
+segment_19980227.ts
+#EXT-X-CUE-OUT-CONT:8/120.0
+#EXTINF:6.001,
+segment_19980228.ts
+#EXT-X-CUE-OUT-CONT:14.001/120.0
+#EXTINF:6.001,
+segment_19980229.ts
+"""
+
 CUE_OUT_ENVIVIO_PLAYLIST = """
 #EXTM3U
 #EXT-X-VERSION:3
diff --git a/tests/test_model.py b/tests/test_model.py
index 7d0bee6b..1eae3d4a 100755
--- a/tests/test_model.py
+++ b/tests/test_model.py
@@ -225,6 +225,20 @@ def test_segment_elemental_scte35_attribute():
     )
 
 
+def test_segment_cue_out_cont_alt():
+    obj = m3u8.M3U8(playlists.CUE_OUT_CONT_ALT_PLAYLIST)
+    segments = obj.segments
+
+    assert segments[1].scte35_elapsedtime == '2'
+    assert segments[1].scte35_duration == '120'
+
+    assert segments[2].scte35_elapsedtime == '8'
+    assert segments[2].scte35_duration == '120.0'
+
+    assert segments[3].scte35_elapsedtime == '14.001'
+    assert segments[3].scte35_duration == '120.0'
+
+
 def test_segment_envivio_scte35_attribute():
     obj = m3u8.M3U8(playlists.CUE_OUT_ENVIVIO_PLAYLIST)
     segments = obj.segments