In center

What number lies in the center between a quarter of a fifth and a half of a third on the number axis?

Correct result:

x =  0.108

Solution:

a=14⋅ 15=120=0.05 b=12⋅ 13=16≐0.1667  x=a+b2=0.05+0.16672=13120=0.108a=\dfrac{ 1 }{ 4 } \cdot \ \dfrac{ 1 }{ 5 }=\dfrac{ 1 }{ 20 }=0.05 \ \\ b=\dfrac{ 1 }{ 2 } \cdot \ \dfrac{ 1 }{ 3 }=\dfrac{ 1 }{ 6 } \doteq 0.1667 \ \\ \ \\ x=\dfrac{ a+b }{ 2 }=\dfrac{ 0.05+0.1667 }{ 2 }=\dfrac{ 13 }{ 120 }=0.108

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