24/52 simplified
Understand the Problem
The question is asking to simplify the fraction 24/52 to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and denominator and then dividing both by that number.
Answer
The fraction $ \frac{6}{13} $ is in its lowest terms.
Answer for screen readers
The simplified fraction is $\frac{6}{13}$.
Steps to Solve
- Identify the GCD of 24 and 52
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (52).
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 52 are: 1, 2, 4, 13, 26, 52
The greatest common factor from these lists is 4.
- Divide the numerator and denominator by the GCD
Next, we divide both the numerator and the denominator by the GCD we found.
$$ \frac{24 \div 4}{52 \div 4} = \frac{6}{13} $$
- Write the simplified fraction
Now that we have divided both the numerator and denominator by their GCD, the simplified fraction is:
$$ \frac{6}{13} $$
The simplified fraction is $\frac{6}{13}$.
More Information
Simplifying fractions helps in expressing them in their simplest form, making it easier to work with them in further calculations. The GCD is a key tool in this process.
Tips
- Not finding the correct GCD: Always double-check the factors of both numbers.
- Forgetting to divide both the numerator and the denominator by the GCD: This step is essential to simplify the fraction correctly.
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