Select all ratios equivalent to 1:12.
Understand the Problem
The question is asking to identify which ratios are equivalent to 1:12 from the given options. This requires checking each ratio to see if it simplifies to 1:12.
Answer
The ratio equivalent to $1:12$ is $5:60$.
Answer for screen readers
The ratios equivalent to $1:12$ are:
- $5:60$
Steps to Solve
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Define the target ratio We want to determine which of the given ratios are equivalent to the ratio $1:12$.
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Convert each ratio to a fraction We will convert each given ratio into a fraction and compare it to $\frac{1}{12}$.
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Evaluate each ratio
- For $7:9$, convert it to a fraction: $$ \frac{7}{9} \neq \frac{1}{12} $$
- For $5:60$, convert it to a fraction: $$ \frac{5}{60} = \frac{1}{12} $$
- For $28:16$, convert it to a fraction: $$ \frac{28}{16} = \frac{7}{4} \neq \frac{1}{12} $$
- For $2:3$, convert it to a fraction: $$ \frac{2}{3} \neq \frac{1}{12} $$
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Identify equivalent ratios The only ratio that simplifies to $1:12$ from the given options is $5:60$.
The ratios equivalent to $1:12$ are:
- $5:60$
More Information
The ratio $1:12$ indicates a relationship where for every 1 part of one quantity, there are 12 parts of another quantity. This can commonly be seen in recipes, mixing solutions, or any context where proportional relationships are important.
Tips
- Confusing the simplification: Ensure that you reduce fractions accurately when comparing ratios.
- Failing to check each option thoroughly: It's essential to evaluate every ratio before concluding which are equivalent.
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