diff --git a/libavutil/rational.c b/libavutil/rational.c
index 7abf54cd0bf835d095181123b6435985da9ca119..aabe58f684907b18052b3ce3df9e3029ed9bd665 100644
--- a/libavutil/rational.c
+++ b/libavutil/rational.c
@@ -115,6 +115,8 @@ AVRational av_d2q(double d, int max)
     exponent = FFMAX( (int)(log(fabs(d) + 1e-20)/LOG2), 0);
     den = 1LL << (61 - exponent);
     av_reduce(&a.num, &a.den, rint(d * den), den, max);
+    if ((!a.num || !a.den) && d && max>0 && max<INT_MAX)
+        av_reduce(&a.num, &a.den, llrint(d * den), den, INT_MAX);
 
     return a;
 }
diff --git a/tests/ref/fate/parseutils b/tests/ref/fate/parseutils
index 5fa3bf4e1c3b0363b1daf74710009f99a35a93a7..1482452857710351a8b6106ae06b557b702ac282 100644
--- a/tests/ref/fate/parseutils
+++ b/tests/ref/fate/parseutils
@@ -21,7 +21,7 @@ Testing av_parse_video_rate()
 '.23' -> 23/100 OK
 '-.23' -> -23/100 ERROR
 '-0.234' -> -117/500 ERROR
-'-0.0000001' -> 0/1 ERROR
+'-0.0000001' -> -1/10000000 ERROR
 '  21332.2324   ' -> 917286/43 OK
 ' -21332.2324   ' -> -917286/43 ERROR