[tex]\\
\text{Given that you have 4/9 if a large bottle of cooking oil. }\\
\text{And you pour 3/5 of the cooking oil into a smaller bottle. }\\
\text{We need to find how much of the entire larger bottle did you}\\
\text{pour into the smaller bottle}.\\
\\
\text{so the amount of oil poured in the smaller bottle is}\\
\\
=\frac{3}{5}\text{ of the }\frac{4}{9}\text{ of larger bottle}\\
\\
=\frac{3}{5}\times \frac{4}{9}\\
\\
=\frac{12}{45}\\
\\
=\frac{4}{15}[/tex]
Hence you pour into the smaller bottle, 4/15 of the entire larger bottle
