Answer:
a. \(7\div 2\)
Step-by-step explanation:
We have been given an expression \(6\frac{3}{4}\div 1\frac{2}{3}\). We are asked to find the best estimate for our given expression.
First of all let us convert our given mixed fractions into decimal as shown below:
\(6\frac{3}{4}\rightarrow \frac{6\times 4+3}{4}=\frac{24+3}{4}=\frac{27}{4}=6.75\)
\(1\frac{2}{3}\rightarrow \frac{1\times 3+2}{3}=\frac{3+2}{3}=\frac{5}{3}=1.666\)
Upon rounding our numbers to nearest whole number we will get,
\(6\frac{3}{4}=6.75\approx 7\)
\(1\frac{2}{3}=1.66\approx 2\)
Therefore, our required expression will be \(7\div 2\) and option 'a' is the correct choice.
