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Write 2/8 in lowest terms.

Understand the Problem

The question is asking us to simplify the fraction 2/8 to its lowest terms. This involves finding the greatest common divisor of the numerator and denominator and reducing the fraction accordingly.

Answer

The simplified form of the fraction is $\frac{1}{4}$.
Answer for screen readers

The simplified form of the fraction $\frac{2}{8}$ is $\frac{1}{4}$.

Steps to Solve

  1. Identify the numerator and denominator

The fraction is given as $\frac{2}{8}$. Here, the numerator is 2 and the denominator is 8.

  1. Find the greatest common divisor (GCD)

To simplify the fraction, we need to find the GCD of 2 and 8. The factors of 2 are 1, 2. The factors of 8 are 1, 2, 4, 8. The largest common factor is 2.

  1. Divide both the numerator and the denominator by the GCD

Now we can simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 2: $$ \frac{2 \div 2}{8 \div 2} = \frac{1}{4} $$

  1. Write the final simplified fraction

The simplified form of the fraction $\frac{2}{8}$ is $\frac{1}{4}$.

The simplified form of the fraction $\frac{2}{8}$ is $\frac{1}{4}$.

More Information

When simplifying fractions, finding the GCD is key to reducing the fraction to its simplest form. In this case, reducing $\frac{2}{8}$ serves as a basic example of fraction simplification.

Tips

  • Forgetting to find the GCD: Ensure you always check for the greatest common divisor before simplifying.
  • Not dividing both numerator and denominator: It's essential to reduce both parts of the fraction equally to maintain its value.
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