Given:
The ratios are [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].
To find:
Whether the ratios form a proportion or not.
Solution:
If two ratios represent the same relationship then they form a proportion.
We have,
[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]
Write the given ratios in the simplified forms.
[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]
[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]
And,
[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]
[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]
Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.
