Question

Question 64

Will the quotient $7\frac{1}{6}÷3\frac{2}{3}$ be a fraction greater than 1.5 or less than 1.5? Explain.

Answer 1

Given, $7\frac{1}{6}÷3\frac{2}{3}=\frac{(7\times 6)+1}{6}÷\frac{(3\times 3)+2}{3}=\frac{42+1}{6}÷\frac{9+2}{3}=\frac{43}{6}÷\frac{11}{3}=\frac{43}{6}\times \frac{3}{11}[\because reciprocalof\frac{11}{3}=\frac{3}{11}]=\frac{43}{22}=1.95$
Obviously, $1.95>1.5$
Hence, $7\frac{1}{6}÷3\frac{2}{3}>1.5$