diff --git a/packages/faucet/src/tokenmanager.ts b/packages/faucet/src/tokenmanager.ts
index 88996eee..9d09ad76 100644
--- a/packages/faucet/src/tokenmanager.ts
+++ b/packages/faucet/src/tokenmanager.ts
@@ -54,9 +54,7 @@ export class TokenManager {
     const thresholdAmount = this.refillThreshold(tickerSymbol);
     const threshold = Decimal.fromAtomics(thresholdAmount.amount, meta.fractionalDigits);
 
-    // TODO: perform < operation on Decimal type directly
-    // https://github.com/iov-one/iov-core/issues/1375
-    return balance.toFloatApproximation() < threshold.toFloatApproximation();
+    return balance.isLessThan(threshold);
   }
 
   private getTokenMeta(tickerSymbol: string): BankTokenMeta {
diff --git a/packages/math/package.json b/packages/math/package.json
index fb4cec28..b3125f61 100644
--- a/packages/math/package.json
+++ b/packages/math/package.json
@@ -25,6 +25,7 @@
   "scripts": {
     "docs": "shx rm -rf docs && typedoc --options typedoc.js",
     "lint": "eslint --max-warnings 0 \"**/*.{js,ts}\"",
+    "lint-fix": "eslint --max-warnings 0 \"**/*.{js,ts}\" --fix",
     "format": "prettier --write --loglevel warn \"./src/**/*.ts\"",
     "format-text": "prettier --write --prose-wrap always --print-width 80 \"./*.md\"",
     "test-node": "node jasmine-testrunner.js",
diff --git a/packages/math/src/decimal.spec.ts b/packages/math/src/decimal.spec.ts
index f0d6f1d3..b0e1803b 100644
--- a/packages/math/src/decimal.spec.ts
+++ b/packages/math/src/decimal.spec.ts
@@ -210,4 +210,214 @@ describe("Decimal", () => {
       expect(() => zero.plus(Decimal.fromUserInput("1", 7))).toThrowError(/do not match/i);
     });
   });
+
+  describe("equals", () => {
+    it("returns correct values", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(zero.equals(Decimal.fromUserInput("0", 5))).toEqual(true);
+      expect(zero.equals(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(zero.equals(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(zero.equals(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(zero.equals(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      const one = Decimal.fromUserInput("1", 5);
+      expect(one.equals(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(one.equals(Decimal.fromUserInput("1", 5))).toEqual(true);
+      expect(one.equals(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(one.equals(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(one.equals(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      const oneDotFive = Decimal.fromUserInput("1.5", 5);
+      expect(oneDotFive.equals(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(oneDotFive.equals(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(oneDotFive.equals(Decimal.fromUserInput("1.5", 5))).toEqual(true);
+      expect(oneDotFive.equals(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(oneDotFive.equals(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(oneDotFive.equals(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      // original value remain unchanged
+      expect(zero.toString()).toEqual("0");
+      expect(one.toString()).toEqual("1");
+      expect(oneDotFive.toString()).toEqual("1.5");
+    });
+
+    it("throws for different fractional digits", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(() => zero.equals(Decimal.fromUserInput("1", 1))).toThrowError(/do not match/i);
+      expect(() => zero.equals(Decimal.fromUserInput("1", 2))).toThrowError(/do not match/i);
+      expect(() => zero.equals(Decimal.fromUserInput("1", 3))).toThrowError(/do not match/i);
+      expect(() => zero.equals(Decimal.fromUserInput("1", 4))).toThrowError(/do not match/i);
+
+      expect(() => zero.equals(Decimal.fromUserInput("1", 6))).toThrowError(/do not match/i);
+      expect(() => zero.equals(Decimal.fromUserInput("1", 7))).toThrowError(/do not match/i);
+    });
+  });
+
+  describe("isLessThan", () => {
+    it("returns correct values", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(zero.isLessThan(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(zero.isLessThan(Decimal.fromUserInput("1", 5))).toEqual(true);
+      expect(zero.isLessThan(Decimal.fromUserInput("2", 5))).toEqual(true);
+      expect(zero.isLessThan(Decimal.fromUserInput("2.8", 5))).toEqual(true);
+      expect(zero.isLessThan(Decimal.fromUserInput("0.12345", 5))).toEqual(true);
+
+      const one = Decimal.fromUserInput("1", 5);
+      expect(one.isLessThan(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(one.isLessThan(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(one.isLessThan(Decimal.fromUserInput("2", 5))).toEqual(true);
+      expect(one.isLessThan(Decimal.fromUserInput("2.8", 5))).toEqual(true);
+      expect(one.isLessThan(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      const oneDotFive = Decimal.fromUserInput("1.5", 5);
+      expect(oneDotFive.isLessThan(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(oneDotFive.isLessThan(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(oneDotFive.isLessThan(Decimal.fromUserInput("1.5", 5))).toEqual(false);
+      expect(oneDotFive.isLessThan(Decimal.fromUserInput("2", 5))).toEqual(true);
+      expect(oneDotFive.isLessThan(Decimal.fromUserInput("2.8", 5))).toEqual(true);
+      expect(oneDotFive.isLessThan(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      // original value remain unchanged
+      expect(zero.toString()).toEqual("0");
+      expect(one.toString()).toEqual("1");
+      expect(oneDotFive.toString()).toEqual("1.5");
+    });
+
+    it("throws for different fractional digits", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(() => zero.isLessThan(Decimal.fromUserInput("1", 1))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThan(Decimal.fromUserInput("1", 2))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThan(Decimal.fromUserInput("1", 3))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThan(Decimal.fromUserInput("1", 4))).toThrowError(/do not match/i);
+
+      expect(() => zero.isLessThan(Decimal.fromUserInput("1", 6))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThan(Decimal.fromUserInput("1", 7))).toThrowError(/do not match/i);
+    });
+  });
+
+  describe("isLessThanOrEqual", () => {
+    it("returns correct values", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(zero.isLessThanOrEqual(Decimal.fromUserInput("0", 5))).toEqual(true);
+      expect(zero.isLessThanOrEqual(Decimal.fromUserInput("1", 5))).toEqual(true);
+      expect(zero.isLessThanOrEqual(Decimal.fromUserInput("2", 5))).toEqual(true);
+      expect(zero.isLessThanOrEqual(Decimal.fromUserInput("2.8", 5))).toEqual(true);
+      expect(zero.isLessThanOrEqual(Decimal.fromUserInput("0.12345", 5))).toEqual(true);
+
+      const one = Decimal.fromUserInput("1", 5);
+      expect(one.isLessThanOrEqual(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(one.isLessThanOrEqual(Decimal.fromUserInput("1", 5))).toEqual(true);
+      expect(one.isLessThanOrEqual(Decimal.fromUserInput("2", 5))).toEqual(true);
+      expect(one.isLessThanOrEqual(Decimal.fromUserInput("2.8", 5))).toEqual(true);
+      expect(one.isLessThanOrEqual(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      const oneDotFive = Decimal.fromUserInput("1.5", 5);
+      expect(oneDotFive.isLessThanOrEqual(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(oneDotFive.isLessThanOrEqual(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(oneDotFive.isLessThanOrEqual(Decimal.fromUserInput("1.5", 5))).toEqual(true);
+      expect(oneDotFive.isLessThanOrEqual(Decimal.fromUserInput("2", 5))).toEqual(true);
+      expect(oneDotFive.isLessThanOrEqual(Decimal.fromUserInput("2.8", 5))).toEqual(true);
+      expect(oneDotFive.isLessThanOrEqual(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      // original value remain unchanged
+      expect(zero.toString()).toEqual("0");
+      expect(one.toString()).toEqual("1");
+      expect(oneDotFive.toString()).toEqual("1.5");
+    });
+
+    it("throws for different fractional digits", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(() => zero.isLessThanOrEqual(Decimal.fromUserInput("1", 1))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThanOrEqual(Decimal.fromUserInput("1", 2))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThanOrEqual(Decimal.fromUserInput("1", 3))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThanOrEqual(Decimal.fromUserInput("1", 4))).toThrowError(/do not match/i);
+
+      expect(() => zero.isLessThanOrEqual(Decimal.fromUserInput("1", 6))).toThrowError(/do not match/i);
+      expect(() => zero.isLessThanOrEqual(Decimal.fromUserInput("1", 7))).toThrowError(/do not match/i);
+    });
+  });
+
+  describe("isGreaterThan", () => {
+    it("returns correct values", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(zero.isGreaterThan(Decimal.fromUserInput("0", 5))).toEqual(false);
+      expect(zero.isGreaterThan(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(zero.isGreaterThan(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(zero.isGreaterThan(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(zero.isGreaterThan(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      const one = Decimal.fromUserInput("1", 5);
+      expect(one.isGreaterThan(Decimal.fromUserInput("0", 5))).toEqual(true);
+      expect(one.isGreaterThan(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(one.isGreaterThan(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(one.isGreaterThan(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(one.isGreaterThan(Decimal.fromUserInput("0.12345", 5))).toEqual(true);
+
+      const oneDotFive = Decimal.fromUserInput("1.5", 5);
+      expect(oneDotFive.isGreaterThan(Decimal.fromUserInput("0", 5))).toEqual(true);
+      expect(oneDotFive.isGreaterThan(Decimal.fromUserInput("1", 5))).toEqual(true);
+      expect(oneDotFive.isGreaterThan(Decimal.fromUserInput("1.5", 5))).toEqual(false);
+      expect(oneDotFive.isGreaterThan(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(oneDotFive.isGreaterThan(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(oneDotFive.isGreaterThan(Decimal.fromUserInput("0.12345", 5))).toEqual(true);
+
+      // original value remain unchanged
+      expect(zero.toString()).toEqual("0");
+      expect(one.toString()).toEqual("1");
+      expect(oneDotFive.toString()).toEqual("1.5");
+    });
+
+    it("throws for different fractional digits", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(() => zero.isGreaterThan(Decimal.fromUserInput("1", 1))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThan(Decimal.fromUserInput("1", 2))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThan(Decimal.fromUserInput("1", 3))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThan(Decimal.fromUserInput("1", 4))).toThrowError(/do not match/i);
+
+      expect(() => zero.isGreaterThan(Decimal.fromUserInput("1", 6))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThan(Decimal.fromUserInput("1", 7))).toThrowError(/do not match/i);
+    });
+  });
+
+  describe("isGreaterThanOrEqual", () => {
+    it("returns correct values", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(zero.isGreaterThanOrEqual(Decimal.fromUserInput("0", 5))).toEqual(true);
+      expect(zero.isGreaterThanOrEqual(Decimal.fromUserInput("1", 5))).toEqual(false);
+      expect(zero.isGreaterThanOrEqual(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(zero.isGreaterThanOrEqual(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(zero.isGreaterThanOrEqual(Decimal.fromUserInput("0.12345", 5))).toEqual(false);
+
+      const one = Decimal.fromUserInput("1", 5);
+      expect(one.isGreaterThanOrEqual(Decimal.fromUserInput("0", 5))).toEqual(true);
+      expect(one.isGreaterThanOrEqual(Decimal.fromUserInput("1", 5))).toEqual(true);
+      expect(one.isGreaterThanOrEqual(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(one.isGreaterThanOrEqual(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(one.isGreaterThanOrEqual(Decimal.fromUserInput("0.12345", 5))).toEqual(true);
+
+      const oneDotFive = Decimal.fromUserInput("1.5", 5);
+      expect(oneDotFive.isGreaterThanOrEqual(Decimal.fromUserInput("0", 5))).toEqual(true);
+      expect(oneDotFive.isGreaterThanOrEqual(Decimal.fromUserInput("1", 5))).toEqual(true);
+      expect(oneDotFive.isGreaterThanOrEqual(Decimal.fromUserInput("1.5", 5))).toEqual(true);
+      expect(oneDotFive.isGreaterThanOrEqual(Decimal.fromUserInput("2", 5))).toEqual(false);
+      expect(oneDotFive.isGreaterThanOrEqual(Decimal.fromUserInput("2.8", 5))).toEqual(false);
+      expect(oneDotFive.isGreaterThanOrEqual(Decimal.fromUserInput("0.12345", 5))).toEqual(true);
+
+      // original value remain unchanged
+      expect(zero.toString()).toEqual("0");
+      expect(one.toString()).toEqual("1");
+      expect(oneDotFive.toString()).toEqual("1.5");
+    });
+
+    it("throws for different fractional digits", () => {
+      const zero = Decimal.fromUserInput("0", 5);
+      expect(() => zero.isGreaterThanOrEqual(Decimal.fromUserInput("1", 1))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThanOrEqual(Decimal.fromUserInput("1", 2))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThanOrEqual(Decimal.fromUserInput("1", 3))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThanOrEqual(Decimal.fromUserInput("1", 4))).toThrowError(/do not match/i);
+
+      expect(() => zero.isGreaterThanOrEqual(Decimal.fromUserInput("1", 6))).toThrowError(/do not match/i);
+      expect(() => zero.isGreaterThanOrEqual(Decimal.fromUserInput("1", 7))).toThrowError(/do not match/i);
+    });
+  });
 });
diff --git a/packages/math/src/decimal.ts b/packages/math/src/decimal.ts
index e126e4ed..ffedd0ed 100644
--- a/packages/math/src/decimal.ts
+++ b/packages/math/src/decimal.ts
@@ -64,6 +64,11 @@ export class Decimal {
     }
   }
 
+  public static compare(a: Decimal, b: Decimal): number {
+    if (a.fractionalDigits !== b.fractionalDigits) throw new Error("Fractional digits do not match");
+    return a.data.atomics.cmp(new BN(b.atomics));
+  }
+
   public get atomics(): string {
     return this.data.atomics.toString();
   }
@@ -118,4 +123,24 @@ export class Decimal {
     const sum = this.data.atomics.add(new BN(b.atomics));
     return new Decimal(sum.toString(), this.fractionalDigits);
   }
+
+  public equals(b: Decimal): boolean {
+    return Decimal.compare(this, b) === 0;
+  }
+
+  public isLessThan(b: Decimal): boolean {
+    return Decimal.compare(this, b) < 0;
+  }
+
+  public isLessThanOrEqual(b: Decimal): boolean {
+    return Decimal.compare(this, b) <= 0;
+  }
+
+  public isGreaterThan(b: Decimal): boolean {
+    return Decimal.compare(this, b) > 0;
+  }
+
+  public isGreaterThanOrEqual(b: Decimal): boolean {
+    return Decimal.compare(this, b) >= 0;
+  }
 }
diff --git a/packages/math/types/decimal.d.ts b/packages/math/types/decimal.d.ts
index 9d65be9d..0642fa07 100644
--- a/packages/math/types/decimal.d.ts
+++ b/packages/math/types/decimal.d.ts
@@ -7,6 +7,7 @@ export declare class Decimal {
   static fromUserInput(input: string, fractionalDigits: number): Decimal;
   static fromAtomics(atomics: string, fractionalDigits: number): Decimal;
   private static verifyFractionalDigits;
+  static compare(a: Decimal, b: Decimal): number;
   get atomics(): string;
   get fractionalDigits(): number;
   private readonly data;
@@ -23,4 +24,9 @@ export declare class Decimal {
    * Both values need to have the same fractional digits.
    */
   plus(b: Decimal): Decimal;
+  equals(b: Decimal): boolean;
+  isLessThan(b: Decimal): boolean;
+  isLessThanOrEqual(b: Decimal): boolean;
+  isGreaterThan(b: Decimal): boolean;
+  isGreaterThanOrEqual(b: Decimal): boolean;
 }