6/15 in simplest form
Understand the Problem
The question is asking us to simplify the fraction 6/15 to its lowest terms. To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
The fraction simplifies to \( \frac{2}{5} \).
Answer for screen readers
The simplified form of the fraction ( \frac{6}{15} ) is ( \frac{2}{5} ).
Steps to Solve
- Find the GCD of 6 and 15
To simplify the fraction, the first step is to find the greatest common divisor (GCD) of the numerator (6) and the denominator (15). The factors of 6 are 1, 2, 3, and 6. The factors of 15 are 1, 3, 5, and 15. The largest common factor is 3.
- Divide both the numerator and the denominator by the GCD
Now that we found the GCD (which is 3), we divide both the numerator and denominator by 3:
$$ \frac{6 \div 3}{15 \div 3} $$
This simplifies to:
$$ \frac{2}{5} $$
- Final simplified fraction
The final result of the fraction ( \frac{6}{15} ) simplified to its lowest terms is ( \frac{2}{5} ).
The simplified form of the fraction ( \frac{6}{15} ) is ( \frac{2}{5} ).
More Information
Simplifying fractions is an important skill in mathematics, and understanding how to find the GCD is essential. Being able to reduce fractions helps in solving various math problems efficiently.
Tips
- Forgetting to find the GCD: Always remember to find the greatest common divisor first before simplifying a fraction.
- Dividing incorrectly: Ensure you divide both the numerator and denominator by the correct GCD to avoid errors in simplification.
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