\(\dfrac{5932+6001\times5931}{5932\times6001-69}\\ =\dfrac{5932+6001\times5931}{\left(5931+1\right)\times6001-69}\\ =\dfrac{5932+6001\times5931}{5931\times6001+1\times6001-69}\\ =\dfrac{5932+6001\times5931}{5931\times6001+6001-69}\\ =\dfrac{5932+6001\times5931}{5931\times6001+5932}\\ =1\)