Answer
The rational numbers in decimal form can be written as \[\frac{6}{11}=0.\overline{54}\,\,\text{and}\,\,\frac{7}{12}=0.58\overline{3}\].
This shows that \[\frac{6}{11}
Work Step by Step
The rational number \[\frac{6}{11}\] can be written in decimal form as follows:
\[11\overset{0.545454}{\overline{\left){\begin{align}
& 6.000 \\
& \underline{5\,\,5} \\
& \,\,\,\,50 \\
& \underline{\,\,\,\,44} \\
& \,\,\,\,\,\,\,60 \\
& \,\,\,\,\,\,\,\,\,\,\,. \\
& \,\,\,\,\,\,\,\,\,\,\,. \\
\end{align}}\right.}}\]
The rational number \[\frac{7}{12}\] can be written in decimal form as follows:
\[12\overset{0.583333}{\overline{\left){\begin{align}
& 7.000 \\
& \underline{6\,\,0} \\
& \,\,\,100 \\
& \underline{\,\,\,\,\,\,96} \\
& \,\,\,\,\,\,\,40 \\
& \underline{\,\,\,\,\,\,\,36} \\
& \,\,\,\,\,\,\,40 \\
& \,\,\,\,\,\,\,\,\,\,\,. \\
& \,\,\,\,\,\,\,\,\,\,\,. \\
\end{align}}\right.}}\]
Thus, the rational numbers in decimal form can be written as \[\frac{6}{11}=0.\overline{54}\,\,\text{and}\,\,\frac{7}{12}=0.58\overline{3}\].
This shows that \[\frac{6}{11}
