diff --git a/src/mix.test.ts b/src/mix.test.ts
index a357f25..e9f2804 100644
--- a/src/mix.test.ts
+++ b/src/mix.test.ts
@@ -51,3 +51,15 @@ test('mix blue and green', () => {
   );
   expect(mix('blue', 'green', 1)).toMatchInlineSnapshot(`"rgba(0, 128, 0, 1)"`);
 });
+
+test('mix with transparent and weight 0%', () => {
+  expect(mix('transparent', 'blue', 0)).toMatchInlineSnapshot(
+    `"rgba(0, 0, 0, 0)"`
+  );
+});
+
+test('mix with transparent and weight 100%', () => {
+  expect(mix('red', 'rgba(255, 0, 0, 0)', 1)).toMatchInlineSnapshot(
+    `"rgba(255, 0, 0, 0)"`
+  );
+});
diff --git a/src/mix.ts b/src/mix.ts
index 274975b..b7a2fe4 100644
--- a/src/mix.ts
+++ b/src/mix.ts
@@ -15,10 +15,12 @@ function mix(color1: string, color2: string, weight: number): string {
   // The formula is copied from the original Sass implementation:
   // http://sass-lang.com/documentation/Sass/Script/Functions.html#mix-instance_method
   const alphaDelta = a2 - a1;
-  const x = weight * 2 - 1;
-  const y = x * alphaDelta === -1 ? x : x + alphaDelta;
-  const z = 1 + x * alphaDelta;
-  const weight2 = (y / z + 1) / 2.0;
+  const normalizedWeight = weight * 2 - 1;
+  const combinedWeight =
+    normalizedWeight * alphaDelta === -1
+      ? normalizedWeight
+      : normalizedWeight + alphaDelta / (1 + normalizedWeight * alphaDelta);
+  const weight2 = (combinedWeight + 1) / 2;
   const weight1 = 1 - weight2;
 
   const r = (r1 * weight1 + r2 * weight2) * 255;