9/60 simplified
Understand the Problem
The question is asking to simplify the fraction 9/60 to its lowest terms. This involves finding the greatest common divisor of the numerator and denominator and dividing both by that number.
Answer
The fraction $\frac{9}{60}$ simplified is $\frac{3}{20}$.
Answer for screen readers
The simplified form of the fraction $\frac{9}{60}$ is $\frac{3}{20}$.
Steps to Solve
- Identify the Numerator and Denominator
The fraction we need to simplify is $\frac{9}{60}$. Here, 9 is the numerator and 60 is the denominator.
- Find the Greatest Common Divisor (GCD)
To simplify the fraction, we need to find the GCD of 9 and 60. The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 9 are: 1, 3, 9
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The GCD of 9 and 60 is 3.
- Divide the Numerator and Denominator by the GCD
Now, divide both the numerator and the denominator by their GCD:
$$ \frac{9 \div 3}{60 \div 3} = \frac{3}{20} $$
- Write the Simplified Fraction
The simplified form of the fraction $\frac{9}{60}$ is $\frac{3}{20}$.
The simplified form of the fraction $\frac{9}{60}$ is $\frac{3}{20}$.
More Information
Simplifying fractions helps to make calculations easier and is an essential skill in mathematics. Understanding how to find the GCD is useful not just for simplifying fractions but also for various areas in number theory.
Tips
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Not finding the GCD correctly: Some may confuse the factors or overlook smaller divisors. Always list the factors clearly or use the Euclidean algorithm for larger numbers.
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Failing to divide both the numerator and the denominator: It’s important to apply the GCD to both parts of the fraction.
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