9/4 in simplest form

Understand the Problem

The question is asking to simplify the fraction 9/4 to its simplest form. This involves finding the greatest common divisor of the numerator and the denominator.

Answer

The simplest form of the fraction is $\frac{9}{4}$.
Answer for screen readers

The simplest form of the fraction $\frac{9}{4}$ is $\frac{9}{4}$.

Steps to Solve

  1. Identify the Fraction We are given the fraction $\frac{9}{4}$.

  2. Determine the GCD To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (9) and the denominator (4).

  3. Calculate the GCD The GCD of 9 and 4 is 1 since they have no common divisors other than 1.

  4. Simplify the Fraction Now, we'll divide both the numerator and the denominator by the GCD:

$$ \frac{9}{4} = \frac{9 \div 1}{4 \div 1} = \frac{9}{4} $$

  1. Conclusion Since the GCD is 1, the fraction is already in its simplest form.

The simplest form of the fraction $\frac{9}{4}$ is $\frac{9}{4}$.

More Information

The fraction $\frac{9}{4}$ is an improper fraction, meaning the numerator is greater than the denominator. It can also be expressed as a mixed number, which is $2\frac{1}{4}$.

Tips

  • Assuming that the fraction can be simplified further without checking the GCD. Always calculate the GCD before simplifying.

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