diff --git a/src/__tests__/fraction.spec.ts b/src/__tests__/fraction.spec.ts
index 2049891..ff61b11 100644
--- a/src/__tests__/fraction.spec.ts
+++ b/src/__tests__/fraction.spec.ts
@@ -674,4 +674,54 @@ describe('Fraction', () => {
     expect(fraction.n).toBe(0);
     expect(fraction.d).toBe(1);
   });
+
+  it('normalizes zero (infinite denominator)', () => {
+    const fraction = new Fraction({n: 123, d: Infinity});
+    expect(fraction.s).toBe(0);
+    expect(fraction.n).toBe(0);
+    expect(fraction.d).toBe(1);
+  });
+
+  it('normalizes zero (infinite second argument)', () => {
+    const fraction = new Fraction(-123, Infinity);
+    expect(fraction.s).toBe(0);
+    expect(fraction.n).toBe(0);
+    expect(fraction.d).toBe(1);
+  });
+
+  it('throws an informative error for (Infinity, 1)', () => {
+    expect(() => new Fraction(Infinity, 1)).throws(
+      'Cannot represent Infinity as a fraction'
+    );
+  });
+
+  it('throws an informative error for (-Infinity, 1)', () => {
+    expect(() => new Fraction(-Infinity, 1)).throws(
+      'Cannot represent Infinity as a fraction'
+    );
+  });
+
+  it('throws an informative error for Infinity', () => {
+    expect(() => new Fraction(Infinity)).throws(
+      'Cannot represent Infinity as a fraction'
+    );
+  });
+
+  it('throws an informative error for {n: Infinity, d:1}', () => {
+    expect(() => new Fraction({n: Infinity, d: 1})).throws(
+      'Cannot represent Infinity as a fraction'
+    );
+  });
+
+  it('throws for NaN (literal)', () => {
+    expect(() => new Fraction(NaN)).throws(
+      'Cannot represent NaN as a fraction'
+    );
+  });
+
+  it('throws for NaN (implicit)', () => {
+    expect(() => new Fraction(Infinity, Infinity)).throws(
+      'Cannot represent NaN as a fraction'
+    );
+  });
 });
diff --git a/src/fraction.ts b/src/fraction.ts
index 4f7a449..9fa9635 100644
--- a/src/fraction.ts
+++ b/src/fraction.ts
@@ -114,12 +114,18 @@ export class Fraction {
       this.s = Math.sign(numerator * denominator);
       this.n = Math.abs(numerator);
       this.d = Math.abs(denominator);
-      if (this.n > Number.MAX_SAFE_INTEGER) {
-        throw new Error('Numerator above safe limit');
-      }
+
+      this.screenInfinity();
+
       if (this.d > Number.MAX_SAFE_INTEGER) {
         throw new Error('Denominator above safe limit');
       }
+      if (this.n > Number.MAX_SAFE_INTEGER) {
+        if (!isFinite(this.n)) {
+          throw new Error('Cannot represent Infinity as a fraction');
+        }
+        throw new Error('Numerator above safe limit');
+      }
       if (this.d === 0) {
         throw new Error('Division by Zero');
       }
@@ -131,6 +137,9 @@ export class Fraction {
       this.s = Math.sign(numerator);
       this.n = Math.abs(numerator);
       this.d = 1;
+      if (!isFinite(this.n)) {
+        throw new Error('Cannot represent Infinity as a fraction');
+      }
       this.defloat();
     } else if (typeof numerator === 'string') {
       numerator = numerator.toLowerCase();
@@ -222,6 +231,7 @@ export class Fraction {
       }
       this.n = Math.abs(numerator.n);
       this.d = Math.abs(numerator.d);
+      this.screenInfinity();
       this.reduce();
     }
     this.validate();
@@ -235,6 +245,9 @@ export class Fraction {
       throw new Error('Cannot represent NaN as a fraction');
     }
     if (this.n > Number.MAX_SAFE_INTEGER) {
+      if (!isFinite(this.n)) {
+        throw new Error('Cannot represent Infinity as a fraction');
+      }
       throw new Error('Numerator above safe limit');
     }
     if (this.d > Number.MAX_SAFE_INTEGER) {
@@ -296,6 +309,20 @@ export class Fraction {
     this.d /= commonFactor;
   }
 
+  /**
+   * Normalize infinite denominator into 0/1.
+   */
+  screenInfinity() {
+    if (!isFinite(this.d)) {
+      if (!isFinite(this.n)) {
+        throw new Error('Cannot represent NaN as a fraction');
+      }
+      this.s = 0;
+      this.n = 0;
+      this.d = 1;
+    }
+  }
+
   /**
    * Creates a string representation of a fraction with all digits.
    *