Respuesta :

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

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