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