3/30 simplified
Understand the Problem
The question is asking to simplify the fraction 3/30. The high-level approach involves finding the greatest common divisor (GCD) of the numerator and denominator and then dividing both by that number to reduce the fraction.
Answer
The simplified fraction is $ \frac{1}{10} $.
Answer for screen readers
The simplified fraction is $\frac{1}{10}$.
Steps to Solve
- Identify the GCD To simplify the fraction $\frac{3}{30}$, we first need to find the greatest common divisor (GCD) of 3 and 30. The GCD is the largest number that divides both numbers without leaving a remainder.
In this case, the factors of 3 are: 1, 3
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The GCD is 3.
- Divide both the numerator and denominator by the GCD Now, we divide both the numerator (3) and the denominator (30) by the GCD (3):
$$ \frac{3 \div 3}{30 \div 3} = \frac{1}{10} $$
- Write the simplified fraction After performing the division, we can express our simplified fraction:
The simplified version of $\frac{3}{30}$ is $\frac{1}{10}$.
The simplified fraction is $\frac{1}{10}$.
More Information
Simplifying fractions is important in mathematics as it makes calculations easier and answers clearer. The fraction $\frac{1}{10}$ can also be written as 0.1 in decimal form and is often used in percentages, representing 10% of a whole.
Tips
- Forgetting to find the GCD and dividing incorrectly.
- Not checking if the fraction can be simplified further after the first round of simplification.
