Answer
\[\frac{29}{36}=0.80\overline{5}\,\,\text{and}\,\,\frac{28}{35}=0.8\]
This shows that \[\frac{29}{36}>\frac{28}{35}\].
Work Step by Step
The rational number \[\frac{29}{36}\] can be written in decimal form as follows:
\[36\overset{0.80555}{\overline{\left){\begin{align}
& 29.000 \\
& \underline{28\,\,8} \\
& \,\,\,\,\,\,\,200 \\
& \underline{\,\,\,\,\,\,\,180} \\
& \,\,\,\,\,\,\,\,\,200 \\
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,. \\
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,. \\
\end{align}}\right.}}\]
The rational number \[\frac{28}{35}\] can be written in decimal form as follows:
\[35\overset{0.8}{\overline{\left){\begin{align}
& 28.000 \\
& \underline{28\,\,0} \\
& \,\,\,\,\,\,\,0 \\
\end{align}}\right.}}\]
Thus, the rational numbers in decimal form can be written as \[\frac{29}{36}=0.80\overline{5}\,\,\text{and}\,\,\frac{28}{35}=0.8\]
This shows that \[\frac{29}{36}>\frac{28}{35}\].
