25/40 simplified
Understand the Problem
The question is asking to simplify the fraction 25/40 to its simplest form. 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 simplest form of the fraction \( \frac{25}{40} \) is \( \frac{5}{8} \).
Answer for screen readers
The simplest form of the fraction ( \frac{25}{40} ) is ( \frac{5}{8} ).
Steps to Solve
- Find the GCD
We need to find the greatest common divisor (GCD) of the numerator (25) and the denominator (40).
The divisors of 25 are: 1, 5, 25
The divisors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The largest common divisor is 5.
- Divide the numerator and denominator by the GCD
Now that we have the GCD, we divide both the numerator and the denominator by 5:
$$ \frac{25 \div 5}{40 \div 5} = \frac{5}{8} $$
- Write the final simplified fraction
The simplified form of the fraction $ \frac{25}{40} $ is $ \frac{5}{8} $.
The simplest form of the fraction ( \frac{25}{40} ) is ( \frac{5}{8} ).
More Information
Simplifying fractions is important in mathematics because it helps to reduce values to their most manageable form. The ability to simplify fractions is useful in many real-world situations, such as cooking or when using measurements.
Tips
- Forgetting to find the GCD correctly. Always list the divisors or use the prime factorization method to ensure accuracy.
- Not dividing both the numerator and denominator by the GCD. It is important that both parts of the fraction are reduced.
