14/40 simplified
Understand the Problem
The question is asking for the simplification of the fraction 14/40. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by this value.
Answer
The simplified fraction is $\frac{7}{20}$.
Answer for screen readers
The simplified fraction is $\frac{7}{20}$.
Steps to Solve
- Find the GCD of the numerator and denominator
To simplify the fraction $ \frac{14}{40} $, we first need to find the GCD of 14 and 40. The factors of 14 are 1, 2, 7, and 14, while the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The greatest common factor between them is 2.
- Divide both the numerator and denominator by the GCD
Next, we divide both the numerator and denominator by the GCD we found:
$$ \frac{14 \div 2}{40 \div 2} $$
This simplifies to:
$$ \frac{7}{20} $$
- State the simplified fraction
Now we can conclude that the simplified form of the fraction $ \frac{14}{40} $ is $ \frac{7}{20} $.
The simplified fraction is $\frac{7}{20}$.
More Information
Simplifying fractions helps make them easier to work with and understand. Knowing how to find the GCD is a valuable skill used in many areas of mathematics, including algebra and number theory.
Tips
- Forgetting to find the GCD correctly. Ensure all factors are considered.
- Dividing one but not the other; remember to divide both the numerator and denominator by the GCD.
AI-generated content may contain errors. Please verify critical information
