18/14 simplified
Understand the Problem
The question is asking for the simplification of the fraction 18/14 to its lowest terms. To solve it, we will divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 18 and 14 is 2.
Answer
The simplified fraction is $ \frac{9}{7} $.
Answer for screen readers
The simplified form of the fraction $ \frac{18}{14} $ is $ \frac{9}{7} $.
Steps to Solve
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Identify the GCD First, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 18 and 14 is 2.
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Divide both numerator and denominator by the GCD Next, we divide both the numerator and the denominator by the GCD we found:
- For the numerator: ( 18 \div 2 = 9 )
- For the denominator: ( 14 \div 2 = 7 )
- Write the simplified fraction Now we can write the fraction in its simplest form: $$ \frac{18}{14} = \frac{9}{7} $$
The simplified form of the fraction $ \frac{18}{14} $ is $ \frac{9}{7} $.
More Information
Simplifying fractions is important as it makes numerical expressions easier to work with. The process involves finding the GCD and dividing both the numerator and the denominator by that number. Understanding this can help in various math problems where fractions are involved.
Tips
Common mistakes include:
- Not finding the GCD correctly. Always ensure you accurately identify the GCD of both numbers.
- Only simplifying one part of the fraction. Remember to divide both the numerator and the denominator by the GCD.
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