What is 4/16 simplified?
Understand the Problem
The question is asking for the simplification of the fraction 4/16, meaning we need to reduce it to its simplest form by finding the greatest common divisor of the numerator and denominator.
Answer
The simplified form of $ \frac{4}{16} $ is $ \frac{1}{4} $.
Answer for screen readers
The simplified form of the fraction $ \frac{4}{16} $ is $ \frac{1}{4} $.
Steps to Solve
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Identify the numerator and denominator The given fraction is $ \frac{4}{16} $. The numerator is 4 and the denominator is 16.
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Find the greatest common divisor (GCD) We need to determine the greatest common divisor of 4 and 16. The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 4 are: 1, 2, 4
The factors of 16 are: 1, 2, 4, 8, 16
The greatest factor they have in common is 4.
- Divide the numerator and denominator by the GCD Now, we simplify the fraction by dividing both the numerator and the denominator by their GCD:
$$ \frac{4 \div 4}{16 \div 4} = \frac{1}{4} $$
- Write the simplified fraction The final simplified form of the fraction $ \frac{4}{16} $ is $ \frac{1}{4} $.
The simplified form of the fraction $ \frac{4}{16} $ is $ \frac{1}{4} $.
More Information
The process of simplifying fractions is essential in mathematics because it helps to express numbers in their simplest forms, making them easier to work with. A fraction is in simplest form when the numerator and denominator have no common factors other than 1.
Tips
- Not finding the correct GCD: Some may miscalculate the GCD or overlook that both numbers must be divided by the same number.
- Dividing only one part: Ensure both the numerator and denominator are divided by the GCD to retain the fraction's value.
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