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5/6 as a fraction in simplest form

Understand the Problem

The question is asking to express the fraction 5/6 in its simplest form, which means reducing it to the lowest terms. However, since 5 and 6 have no common factors other than 1, 5/6 is already in its simplest form.

Answer

The simplest form of the fraction is $\frac{5}{6}$.
Answer for screen readers

The simplest form of the fraction is $\frac{5}{6}$.

Steps to Solve

  1. Identify the numerator and denominator

In the fraction $\frac{5}{6}$, the numerator is 5 and the denominator is 6.

  1. Find the greatest common divisor (GCD)

To simplify the fraction, we need to determine the greatest common divisor (GCD) of the numerator and the denominator.

For 5 and 6, the only common factor is 1, as 5 is a prime number.

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

Now, we divide both the numerator and denominator by their GCD:

$$ \text{Numerator: } 5 \div 1 = 5 $$

$$ \text{Denominator: } 6 \div 1 = 6 $$

This gives us the simplified fraction $\frac{5}{6}$.

  1. Conclusion

Since the GCD was 1, the fraction $\frac{5}{6}$ is already in its simplest form.

The simplest form of the fraction is $\frac{5}{6}$.

More Information

The fraction $\frac{5}{6}$ is a proper fraction because its numerator is less than its denominator. The process of simplifying fractions is essential in mathematics as it helps in performing operations more efficiently.

Tips

  • A common mistake is attempting to simplify a fraction without first finding the GCD. Always check for common factors.
  • Another mistake could be incorrectly identifying the GCD of the numbers. Make sure to list the factors or use the Euclidean algorithm if needed.
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