What is 4/12 in simplest form?
Understand the Problem
The question is asking to simplify the fraction 4/12 to its lowest terms. This involves finding the greatest common divisor of the numerator and the denominator and dividing both by that number.
Answer
The simplified form of $\frac{4}{12}$ is $\frac{1}{3}$.
Answer for screen readers
The simplified form of the fraction $\frac{4}{12}$ is $\frac{1}{3}$.
Steps to Solve
- Find the greatest common divisor (GCD)
To simplify the fraction, we first need to find the GCD of the numerator (4) and the denominator (12). The GCD is the largest number that can divide both 4 and 12 evenly.
The divisors of 4 are: 1, 2, 4
The divisors of 12 are: 1, 2, 3, 4, 6, 12
The greatest common divisor is 4.
- Divide both the numerator and the denominator by the GCD
Next, we divide both the numerator and denominator by the GCD (4) to simplify the fraction.
$$ \text{Numerator:} \quad 4 \div 4 = 1 $$
$$ \text{Denominator:} \quad 12 \div 4 = 3 $$
- Write the simplified fraction
After dividing both the numerator and denominator by the GCD, we can write the simplified fraction.
The simplified form of $\frac{4}{12}$ is:
$$ \frac{1}{3} $$
The simplified form of the fraction $\frac{4}{12}$ is $\frac{1}{3}$.
More Information
Simplifying fractions helps in making calculations easier. The simplified fraction $\frac{1}{3}$ indicates that for every 1 part out of a total of 3 equal parts, it retains the same value as the original fraction.
Tips
- One common mistake is forgetting to find the GCD and instead blindly reducing the numbers, which may lead to incorrect simplification.
- Another mistake is failing to reduce both the numerator and denominator equally after finding the GCD.
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