4/60 simplified
Understand the Problem
The question is asking for the simplified form of the fraction 4/60. To solve this, we need to divide both the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplified form of the fraction $\frac{4}{60}$ is $\frac{1}{15}$.
Answer for screen readers
The simplified form of the fraction $\frac{4}{60}$ is $\frac{1}{15}$.
Steps to Solve
- Identify the GCD of 4 and 60
First, we need to find the greatest common divisor (GCD) of the two numbers. The GCD is the largest number that divides both 4 and 60 without leaving a remainder.
The factors of 4 are: 1, 2, 4
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The GCD of 4 and 60 is 4.
- Divide the numerator and denominator by the GCD
Next, we simplify the fraction by dividing both the numerator (4) and denominator (60) by their GCD (4).
$$ \frac{4 \div 4}{60 \div 4} = \frac{1}{15} $$
- Write the simplified fraction
Now that we have divided both parts by their GCD, we can write the simplified form of the original fraction.
The simplified form of $\frac{4}{60}$ is $\frac{1}{15}$.
The simplified form of the fraction $\frac{4}{60}$ is $\frac{1}{15}$.
More Information
The process of simplifying fractions involves finding the greatest common divisor (GCD) to reduce the fraction to its simplest form. This concept is foundational in arithmetic and helps in performing calculations more easily.
Tips
One common mistake is forgetting to divide both the numerator and the denominator by the GCD, which can lead to an incorrect simplification. Always remember to do this for accurate results.
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