diff --git a/src/main/java/org/apache/commons/lang3/math/Fraction.java b/src/main/java/org/apache/commons/lang3/math/Fraction.java
index 95f40dc3453..c4b80922f39 100644
--- a/src/main/java/org/apache/commons/lang3/math/Fraction.java
+++ b/src/main/java/org/apache/commons/lang3/math/Fraction.java
@@ -332,6 +332,11 @@ public static Fraction getReducedFraction(int numerator, int denominator) {
             numerator /= 2;
             denominator /= 2;
         }
+        // allow -2^31/2^k as a valid fraction (where k>0)
+        if (numerator == Integer.MIN_VALUE && (denominator & 1) == 0) {
+            numerator /= 2;
+            denominator /= 2;
+        }
         if (denominator < 0) {
             if (numerator == Integer.MIN_VALUE || denominator == Integer.MIN_VALUE) {
                 throw new ArithmeticException("overflow: can't negate");
diff --git a/src/test/java/org/apache/commons/lang3/math/FractionTest.java b/src/test/java/org/apache/commons/lang3/math/FractionTest.java
index 7affb71cd67..ef8e7506c5a 100644
--- a/src/test/java/org/apache/commons/lang3/math/FractionTest.java
+++ b/src/test/java/org/apache/commons/lang3/math/FractionTest.java
@@ -1274,4 +1274,10 @@ void testToString() {
         f = Fraction.getFraction(-1, 1, Integer.MAX_VALUE);
         assertEquals("-2147483648/2147483647", f.toString());
     }
+    @Test
+    public void testMyReducedFractionFix() {
+        Fraction f = Fraction.getReducedFraction(Integer.MIN_VALUE, -2);
+        assertEquals(1073741824, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
 }