The first expression is 21 garbage cans to 14 classrooms.
The ratio of the first quantity to the second is:
[tex]\begin{gathered} \frac{21}{14} \\ \text{Reduce the fraction by 7:} \\ \frac{3}{2} \end{gathered}[/tex]
Hence the ratio is 3:2.
The second expression is 36 glasses of juice to 30 sandwiches.
The ratio of the first quantity to the second is:
[tex]\begin{gathered} \frac{36}{30} \\ \text{Reduce the fraction by 6:} \\ \frac{6}{5} \end{gathered}[/tex]
The required ratio is 6:5.
The third expression is 12 flowers to 4 vases.
The ratio of the first quantity to the second is:
[tex]\begin{gathered} \frac{12}{4} \\ \text{Reduce the fraction by }4\colon \\ \frac{3}{1} \end{gathered}[/tex]
The required ratio is 3:1.
The fourth expression is 4 books to 10 pupils.
The ratio of the first quantity to the second is:
[tex]\begin{gathered} \frac{4}{10} \\ \text{Reduce the fraction by 2:} \\ \frac{2}{5} \end{gathered}[/tex]
Hence, the required ratio is 2:5.
The ratios are:
2.) 3:2
3.) 6:5
4.) 3:1
5.) 2:5
