Index: node_modules/fraction.js/examples/approx.js
===================================================================
--- node_modules/fraction.js/examples/approx.js	(revision 2058e5c694bb6097866a5fe6503c519e8f74970f)
+++ node_modules/fraction.js/examples/approx.js	(revision 2058e5c694bb6097866a5fe6503c519e8f74970f)
@@ -0,0 +1,54 @@
+/*
+Fraction.js v5.0.0 10/1/2024
+https://raw.org/article/rational-numbers-in-javascript/
+
+Copyright (c) 2024, Robert Eisele (https://raw.org/)
+Licensed under the MIT license.
+*/
+const Fraction = require('fraction.js');
+
+// Another rational approximation, not using Farey Sequences but Binary Search using the mediant
+function approximate(p, precision) {
+
+  var num1 = Math.floor(p);
+  var den1 = 1;
+
+  var num2 = num1 + 1;
+  var den2 = 1;
+
+  if (p !== num1) {
+
+    while (den1 <= precision && den2 <= precision) {
+
+      var m = (num1 + num2) / (den1 + den2);
+
+      if (p === m) {
+
+        if (den1 + den2 <= precision) {
+          den1 += den2;
+          num1 += num2;
+          den2 = precision + 1;
+        } else if (den1 > den2) {
+          den2 = precision + 1;
+        } else {
+          den1 = precision + 1;
+        }
+        break;
+
+      } else if (p < m) {
+        num2 += num1;
+        den2 += den1;
+      } else {
+        num1 += num2;
+        den1 += den2;
+      }
+    }
+  }
+
+  if (den1 > precision) {
+    den1 = den2;
+    num1 = num2;
+  }
+  return new Fraction(num1, den1);
+}
+