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What is 4/6 in the simplest form?

Understand the Problem

The question is asking to simplify the fraction 4/6 to its lowest terms. We will do this by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by this number.

Answer

$ \frac{2}{3} $
Answer for screen readers

The simplified form of the fraction $ \frac{4}{6} $ is $ \frac{2}{3} $.

Steps to Solve

  1. Find the GCD of the numerator and denominator

To simplify the fraction $ \frac{4}{6} $, we first need to find the greatest common divisor (GCD) of the numerator (4) and the denominator (6).

The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6

The common factors are: 1, 2
The greatest of these is 2, so the GCD is 2.

  1. Divide both the numerator and denominator by the GCD

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

$$ \frac{4 \div 2}{6 \div 2} = \frac{2}{3} $$

  1. Write the simplified fraction

After performing the division, the simplified fraction of $ \frac{4}{6} $ is $ \frac{2}{3} $.

The simplified form of the fraction $ \frac{4}{6} $ is $ \frac{2}{3} $.

More Information

Simplifying fractions is essential in mathematics as it helps to express numbers in their most reduced form, making calculations easier. The GCD is a helpful tool for this purpose as it identifies the largest number that divides both the numerator and denominator without a remainder.

Tips

  • A common mistake is not finding the GCD correctly. To avoid this, list the factors of both numbers to ensure that the correct GCD is identified.
  • Another mistake is forgetting to divide both the numerator and denominator by the GCD after finding it.
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