# 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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