What is the simplest form of 24/15?
Understand the Problem
The question is asking for the simplest form of the fraction 24/15. To do this, we will find the greatest common divisor (GCD) of the numerator and denominator and then divide both by that number.
Answer
The simplest form of \( \frac{24}{15} \) is \( \frac{8}{5} \).
Answer for screen readers
The simplest form of the fraction ( \frac{24}{15} ) is ( \frac{8}{5} ).
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction ( \frac{24}{15} ), we first need to find the GCD of 24 and 15.
We can list the factors:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 15: 1, 3, 5, 15
The largest common factor is 3.
- Divide the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator by their GCD, which is 3.
$$ \frac{24 \div 3}{15 \div 3} = \frac{8}{5} $$
- Write the final simplified fraction
The simplest form of the fraction is ( \frac{8}{5} ).
The simplest form of the fraction ( \frac{24}{15} ) is ( \frac{8}{5} ).
More Information
The simplification of fractions is an essential skill in mathematics. Understanding how to find the GCD can help in many other areas involving fractions, like adding, subtracting, or comparing them. Simplification makes fractions easier to work with and understand.
Tips
- Forgetting to divide both the numerator and denominator by the GCD.
- Failing to find the GCD correctly, which can lead to incorrect simplification.
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