What is 12/4 in simplest form?

Understand the Problem

The question is asking to simplify the fraction 12/4 to its simplest form. We will divide both the numerator and denominator by their greatest common divisor, which is 4.

Answer

3
Answer for screen readers

3

Steps to Solve

  1. Identify the numerator and denominator

The fraction is given as $\frac{12}{4}$, where 12 is the numerator and 4 is the denominator.

  1. Find the greatest common divisor (GCD)

We need to find the GCD of 12 and 4 to simplify the fraction. The GCD of 12 and 4 is 4.

  1. Divide the numerator and denominator by the GCD

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

  • For the numerator: $12 \div 4 = 3$
  • For the denominator: $4 \div 4 = 1$
  1. Write the simplified fraction

After dividing, we can write the simplified fraction as: $$ \frac{3}{1} $$

  1. Convert to simplest form

The simplest form of the fraction $\frac{3}{1}$ is simply 3.

3

More Information

The number 3 is the simplest form of the fraction $\frac{12}{4}$. This result shows that reducing fractions often leads to whole numbers when the numerator is a multiple of the denominator.

Tips

  • Not finding the GCD correctly. Make sure to check the divisors of both numbers.
  • Forgetting to divide both the numerator and denominator by the GCD, which can lead to incorrect simplification.

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