diff --git a/src/Math-Complex/Number.extension.st b/src/Math-Complex/Number.extension.st
index 9fdceb6f..10805751 100644
--- a/src/Math-Complex/Number.extension.st
+++ b/src/Math-Complex/Number.extension.st
@@ -13,6 +13,11 @@ Number >> asComplex [
 	^ PMComplex real: self imaginary: 0
 ]
 
+{ #category : #'*Math-Complex' }
+Number >> complexConjugate [
+	^ self.
+]
+
 { #category : #'*Math-Complex' }
 Number >> i [
 	^ PMComplex real: 0 imaginary: self
diff --git a/src/Math-Tests-Complex/PMComplexTest.class.st b/src/Math-Tests-Complex/PMComplexTest.class.st
index 8dac6008..e98a94a6 100644
--- a/src/Math-Tests-Complex/PMComplexTest.class.st
+++ b/src/Math-Tests-Complex/PMComplexTest.class.st
@@ -750,6 +750,38 @@ PMComplexTest >> testTimesPolynomial [
 	self assert: (poly * c at: 0) equals: c
 ]
 
+{ #category : #'expressing complex numbers' }
+PMComplexTest >> testWeCanWriteComplexNumbersWhoseRealAndImaginaryPartsAreFractions [
+	| z |
+	z := PMComplex real: 3 / 5 imaginary: 4 / 5.
+	 
+	self assert: (z real) equals: (Fraction numerator: 3 denominator: 5).
+	self assert: (z imaginary) equals: (Fraction numerator: 4 denominator: 5).
+]
+
+{ #category : #'expressing complex numbers' }
+PMComplexTest >> testWeCannotWriteFractionsOfComplexNumbersWithDenominatorNormalized [
+
+	| z w numerator denominator |
+	z := 1 + 2 i.
+	w := 3 + 4 i.
+	numerator := z * w complexConjugate.
+	denominator := w squaredNorm.
+	
+	self should: [ Fraction numerator: numerator denominator: w squaredNorm ] raise: Exception.
+]
+
+{ #category : #'expressing complex numbers' }
+PMComplexTest >> testWeCannotWriteFractionsWhoseNumeratorAndDenominatorAreComplexNumbers [
+	| numerator denominator |
+	"It is interesting that we cannot instanciate a fraction of the form z/w"
+	"Perhaps, we could do something like z * (w*)/ |w|**2"
+	numerator := PMComplex real: 1 imaginary: 1.
+	denominator := PMComplex real: 3 imaginary: 4 .
+
+	self should: [ Fraction numerator: numerator denominator: denominator ] raise: Exception .
+]
+
 { #category : #tests }
 PMComplexTest >> testZero [
 	| z |
diff --git a/src/Math-Tests-Complex/PMNumberTest.class.st b/src/Math-Tests-Complex/PMNumberTest.class.st
new file mode 100644
index 00000000..bbed9c0e
--- /dev/null
+++ b/src/Math-Tests-Complex/PMNumberTest.class.st
@@ -0,0 +1,30 @@
+Class {
+	#name : #PMNumberTest,
+	#superclass : #TestCase,
+	#category : #'Math-Tests-Complex'
+}
+
+{ #category : #'complex conjugation' }
+PMNumberTest >> testComplexConjugateOfAnIntegerIsAnInteger [
+	|complexConjugateOfInteger|
+	
+	complexConjugateOfInteger := -5 complexConjugate. 
+	
+	self assert: complexConjugateOfInteger equals: -5.
+]
+
+{ #category : #'complex conjugation' }
+PMNumberTest >> testComplexConjugateOfRealFractionIsARealFraction [
+	| complexConjugateOfFraction |
+	complexConjugateOfFraction := (Fraction numerator: 1 denominator: 6) complexConjugate.
+	
+	self assert: complexConjugateOfFraction equals: (Fraction numerator: 1 denominator: 6) .
+]
+
+{ #category : #'complex conjugation' }
+PMNumberTest >> testComplexConjugateOfRealNumberIsItself [			
+	|realNumber|
+	realNumber := 4.5 complexConjugate. 
+			
+	self assert: realNumber equals: 4.5
+]