simplify 18/48
Understand the Problem
The question is asking us to simplify the fraction 18/48. To solve this, we will find the greatest common divisor (GCD) of the numerator and denominator, and divide both by that number.
Answer
The fraction simplifies to $\frac{3}{8}$.
Answer for screen readers
The simplified fraction of $\frac{18}{48}$ is $\frac{3}{8}$.
Steps to Solve
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Identify the numbers First, we need to identify the numerator and the denominator of the fraction. In this case, the numerator is 18 and the denominator is 48.
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Find the greatest common divisor (GCD) We need to determine the GCD of 18 and 48. The GCD can be found by listing the factors of each number or using the Euclidean algorithm.
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The largest common factor is 6, so the GCD is 6.
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Divide both the numerator and the denominator by the GCD Now, we can simplify the fraction by dividing both the numerator and the denominator by the GCD: $$ \frac{18}{48} = \frac{18 \div 6}{48 \div 6} = \frac{3}{8} $$
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Write the simplified fraction The simplified form of the fraction $ \frac{18}{48} $ is $ \frac{3}{8} $.
The simplified fraction of $\frac{18}{48}$ is $\frac{3}{8}$.
More Information
Simplifying fractions helps in making calculations easier and clearer. The greatest common divisor is an important concept in mathematics used to reduce fractions to their simplest form.
Tips
- Forgetting to find the GCD correctly can result in not achieving the simplest form.
- Not dividing both the numerator and the denominator by the same number leads to incorrect simplifications.
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