simplify 3/15
Understand the Problem
The question asks for the simplification of the fraction 3/15, which involves dividing both the numerator and the denominator by their greatest common divisor.
Answer
\(\frac{1}{5}\)
Answer for screen readers
The simplified fraction of 3/15 is 1/5
Steps to Solve
-
Find the Greatest Common Divisor (GCD)
Find the GCD of the numerator (3) and the denominator (15). The GCD is the largest positive integer that divides both numbers without leaving a remainder. The factors of 3 are {1, 3}. The factors of 15 are {1, 3, 5, 15}. The GCD of 3 and 15 is 3.
- Divide both the numerator and the denominator by the GCD
To simplify the fraction, divide the numerator and the denominator by their GCD (3):
$$ rac{3 \div 3}{15 \div 3} = rac{1}{5}$$
- Write the simplified fraction
The simplified fraction of (\frac{3}{15}) is (\frac{1}{5}).
The simplified fraction of 3/15 is 1/5
More Information
Simplifying fractions helps in reducing them to their most basic form, making them easier to understand and work with.
Tips
A common mistake is not finding the correct GCD. Always list out the factors of both the numerator and the denominator to find the greatest one.
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