What is 14:18?
Understand the Problem
The question is asking about the meaning or significance of the ratio 14:18. It may be interpreted in different contexts, such as mathematics, time, or other comparative measures. The first step is to simplify the ratio or understand what it represents.
Answer
$7:9$ or approximately $0.7777$
Answer for screen readers
The simplified ratio of 14:18 is $7:9$ or approximately $0.7777$.
Steps to Solve
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Write the ratio in fraction form
The ratio 14:18 can be converted into a fraction to make simplification easier:
$$ \frac{14}{18} $$ -
Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 14 and 18.
The GCD of 14 and 18 is 2.
Now we divide both the numerator and the denominator by their GCD:
$$ \frac{14 \div 2}{18 \div 2} = \frac{7}{9} $$ -
Interpret the simplified ratio
The simplified ratio 7:9 indicates that for every 7 parts of one quantity, there are 9 parts of another. This can represent various contexts, such as comparing quantities or proportions. -
Express the final ratio
You can express the simplified ratio as 7:9 or as a decimal by performing the division:
$$ \frac{7}{9} \approx 0.7777 $$
This can also be expressed as approximately 77.77%.
The simplified ratio of 14:18 is $7:9$ or approximately $0.7777$.
More Information
The ratio 14:18 signifies a comparative relationship between two quantities. After simplification, it shows that for every 16 parts of one quantity, there are 9 parts of another. Understanding ratios is fundamental in various fields, such as statistics, finance, and real-world problems.
Tips
- Confusing comparison of ratios with their decimal representation. It's important to remember that the ratio expresses a relationship, while the decimal shows its numerical value.
- Forgetting to simplify correctly. Ensure to find the GCD before simplifying to avoid errors.
