2/48 simplified
Understand the Problem
The question is asking how to simplify the fraction 2/48. To do this, we look for the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
The simplified fraction is $\frac{1}{24}$.
Answer for screen readers
The simplified form of the fraction $\frac{2}{48}$ is $\frac{1}{24}$.
Steps to Solve
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Identify the Fraction We have the fraction $\frac{2}{48}$.
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Find the GCD We need to find the greatest common divisor (GCD) of 2 and 48. The divisors of 2 are 1 and 2, while the divisors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The largest common divisor is 2.
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Divide Numerator and Denominator by the GCD Now, we divide both the numerator and the denominator by the GCD:
- For the numerator: $2 \div 2 = 1$
- For the denominator: $48 \div 2 = 24$
- Write the Simplified Fraction Therefore, the simplified fraction is $\frac{1}{24}$.
The simplified form of the fraction $\frac{2}{48}$ is $\frac{1}{24}$.
More Information
Simplifying fractions is a key skill in mathematics as it allows for easier calculations and clearer representation of numbers.
Tips
- A common mistake is forgetting to divide both the numerator and the denominator by the GCD, which can lead to an incorrect simplified fraction.
- Another error is misidentifying the GCD. It’s important to list out the factors correctly to find the largest one.
