Will the quotient \(7\dfrac{1}{6} \div 3\dfrac{2}{3}\) be a fraction greater than \(1.5\) or less than \(1.5\)? Explain.
Greater than 1.5
\(7\tfrac{1}{6}=\dfrac{43}{6}\approx7.167,\;3\tfrac{2}{3}=\dfrac{11}{3}\approx3.667\). Quotient \(=\dfrac{43}{6}\div\dfrac{11}{3}=\dfrac{129}{66}\approx1.955\gt1.5\).