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What is the simplest form of 16/20?

Understand the Problem

The question is asking for the simplest form of the fraction 16/20, which means we need to reduce the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD).

Answer

The simplest form of the fraction $\frac{16}{20}$ is $\frac{4}{5}$.
Answer for screen readers

The simplest form of the fraction $\frac{16}{20}$ is $\frac{4}{5}$.

Steps to Solve

  1. Identify the numerator and denominator

The numerator (top number) is 16 and the denominator (bottom number) is 20.

  1. Find the greatest common divisor (GCD)

To reduce the fraction, we need to find the GCD of 16 and 20. The factors of 16 are 1, 2, 4, 8, 16, and the factors of 20 are 1, 2, 4, 5, 10, 20. The largest common factor is 4.

  1. Divide the numerator and denominator by the GCD

Now that we have the GCD, we divide both the numerator and denominator by 4:

$$ \frac{16 \div 4}{20 \div 4} = \frac{4}{5} $$

  1. Write the simplified fraction

After dividing, the simplified fraction is $\frac{4}{5}$.

The simplest form of the fraction $\frac{16}{20}$ is $\frac{4}{5}$.

More Information

Reducing fractions is a useful skill in mathematics as it allows for easier calculations and comparisons. The concept of GCD applies in many areas, including simplifying ratios and solving problems in number theory.

Tips

  • Confusing the order of the numbers when finding the GCD. Always verify that the GCD is the largest common factor.
  • Forgetting to divide both the numerator and denominator by the GCD, which can result in an incorrect simplification.
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