Answer:
a. [tex]7\div 2[/tex]
Step-by-step explanation:
We have been given an expression [tex]6\frac{3}{4}\div 1\frac{2}{3}[/tex]. 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:
[tex]6\frac{3}{4}\rightarrow \frac{6\times 4+3}{4}=\frac{24+3}{4}=\frac{27}{4}=6.75[/tex]
[tex]1\frac{2}{3}\rightarrow \frac{1\times 3+2}{3}=\frac{3+2}{3}=\frac{5}{3}=1.666[/tex]
Upon rounding our numbers to nearest whole number we will get,
[tex]6\frac{3}{4}=6.75\approx 7[/tex]
[tex]1\frac{2}{3}=1.66\approx 2[/tex]
Therefore, our required expression will be [tex]7\div 2[/tex] and option 'a' is the correct choice.
