What is the simplest form of 6/15?
Understand the Problem
The question is asking for the simplest form of the fraction 6/15. To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
The simplest form of the fraction $\frac{6}{15}$ is $\frac{2}{5}$.
Answer for screen readers
The simplest form of the fraction $\frac{6}{15}$ is $\frac{2}{5}$.
Steps to Solve
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Find the GCD of the numerator and denominator
To simplify the fraction $\frac{6}{15}$, we need to find the greatest common divisor (GCD) of 6 and 15.
The factors of 6 are: 1, 2, 3, 6
The factors of 15 are: 1, 3, 5, 15
The GCD is 3. -
Divide both numerator and denominator by the GCD
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 3: $$ \frac{6 \div 3}{15 \div 3} = \frac{2}{5} $$ -
Present the simplified fraction
The simplified form of the fraction $\frac{6}{15}$ is $\frac{2}{5}$.
The simplest form of the fraction $\frac{6}{15}$ is $\frac{2}{5}$.
More Information
When you simplify fractions, you make them easier to understand and work with. Simplifying fractions is useful in many areas of math, including solving equations, working with ratios, and more.
Tips
- Not correctly identifying the GCD. Ensure you list all factors accurately.
- Forgetting to divide both the numerator and denominator by the GCD to simplify the fraction.
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