These ratios are not in a proportional relationship because their
simplest ratios are not equal
Step-by-step explanation:
Ratios are proportional if they represent the same relationship
To know if the two ratios are proportion do that:
1. Write them as fractions
2. Simplify the two fractions to their simplest form
3. If the simplest fractions are the same, then your ratios are proportion
if not then they are not proportion
∵ The ratio of Braydon's number of laps he ran to the time he ran
is 6 : 2
∵ 6 : 2 = [tex]\frac{6}{2}[/tex]
- Simplify it by divide up and down by 2
∴ [tex]\frac{6/2}{2/2}[/tex] = [tex]\frac{3}{1}[/tex]
∴ The simplest form of [tex]\frac{6}{2}[/tex] is [tex]\frac{3}{1}[/tex]
∵ The ratio of Monique's number of laps she ran to the time she ran
is 10 : 4
∵ 10 : 4 = [tex]\frac{10}{4}[/tex]
- Simplify it by divide up and down by 2
∴ [tex]\frac{10/2}{4/2}[/tex] = [tex]\frac{5}{2}[/tex]
∴ The simplest form of [tex]\frac{10}{4}[/tex] is [tex]\frac{5}{2}[/tex]
∵ [tex]\frac{3}{1}[/tex] ≠ [tex]\frac{5}{2}[/tex]
∵ The simplest form of them are not equal
∴ These ratios are not in a proportional relationship
These ratios are not in a proportional relationship because their
simplest ratios are not equal
Learn more:
You can learn more about ratios in brainly.com/question/2707032
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