What is the simplest form of 36/48?

Understand the Problem

The question is asking for the simplest form of the fraction 36/48. To find the simplest form, we need to divide both the numerator and the denominator by their greatest common divisor.

Answer

The simplest form of \( \frac{36}{48} \) is \( \frac{3}{4} \).
Answer for screen readers

The simplest form of the fraction ( \frac{36}{48} ) is ( \frac{3}{4} ).

Steps to Solve

  1. Find the Greatest Common Divisor (GCD)

The first step is to find the GCD of the numerator (36) and the denominator (48).

The divisors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

The divisors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

The largest common divisor is 12.

  1. Divide the Numerator and Denominator by the GCD

Next, we divide both the numerator and the denominator by the GCD (12) to simplify the fraction.

The calculation will look like this:

$$ \frac{36 \div 12}{48 \div 12} = \frac{3}{4} $$

  1. Write the Simplified Fraction

The final step is to write the simplified fraction.

Thus, the simplest form of the fraction $ \frac{36}{48} $ is $ \frac{3}{4} $.

The simplest form of the fraction ( \frac{36}{48} ) is ( \frac{3}{4} ).

More Information

Simplifying fractions is a foundational skill in mathematics. It helps to make calculations easier and clearer. Finding the GCD is an essential part of this process. The GCD can be found using prime factorization or the Euclidean algorithm for larger numbers.

Tips

  • Not finding the correct GCD: Some people may mistakenly choose a number that isn't the greatest common divisor. Always list the divisors or use a reliable method to find the GCD.
  • Forgetting to divide both numerator and denominator: Ensure that both parts of the fraction are divided by the GCD to get the simplest form.

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