30/20 simplified
Understand the Problem
The question is asking how to simplify the fraction 30/20. This involves dividing the numerator and denominator by their greatest common divisor to express the fraction in its simplest form.
Answer
$ \frac{3}{2} $
Answer for screen readers
The simplified fraction is $ \frac{3}{2} $.
Steps to Solve
- Identify the Greatest Common Divisor (GCD)
To simplify the fraction $ \frac{30}{20} $, first find the GCD of the numerator (30) and the denominator (20). The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30 and the factors of 20 are 1, 2, 4, 5, 10, 20. The largest common factor is 10.
- Divide the numerator and denominator by the GCD
Now, divide both the numerator and the denominator by their GCD (10):
- Numerator: $ 30 ÷ 10 = 3 $
- Denominator: $ 20 ÷ 10 = 2 $
- Write the simplified fraction
Now that we’ve simplified both the numerator and the denominator, we write the simplified fraction: $$ \frac{30}{20} = \frac{3}{2} $$
The simplified fraction is $ \frac{3}{2} $.
More Information
Simplifying fractions helps in making computations easier and clearer. In this case, $ \frac{3}{2} $ is also an improper fraction and can be expressed as a mixed number: $ 1 \frac{1}{2} $.
Tips
- Not finding the GCD correctly. Always double-check the factors of both the numerator and denominator to ensure you're dividing by the right number.
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