2010*(2.3*47+2.4)/(2.4*47-2.3)
=2010*(2.3*47+2.4)/[(2.3+0.1)*47-2.3]
=2010*(2.3*47+2.4)/(2.3*47+0.1*47-2.3)
=2010*(2.3*47+2.4)/(2.3*47+2.4)
=2010
2010*(2.3*47+2.4)/(2.4*47-2.3)
=2010*(2.3*47+2.4)/[(2.3+0.1)*47-2.3]
=2010*(2.3*47+2.4)/(2.3*47+0.1*47-2.3)
=2010*(2.3*47+2.4)/(2.3*47+2.4)
=2010