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

  1. 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.

  1. Divide the numerator and denominator by the GCD

Now that we have the GCD, we divide both the numerator and the denominator by 5:

$$ \frac{25 \div 5}{40 \div 5} = \frac{5}{8} $$

  1. 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.
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