36/10 simplified
Understand the Problem
The question is asking to simplify the fraction 36/10, which involves finding the simplest form by dividing the numerator and the denominator by their greatest common divisor.
Answer
The simplified form of the fraction $\frac{36}{10}$ is $\frac{18}{5}$.
Answer for screen readers
The simplified form of the fraction $\frac{36}{10}$ is $\frac{18}{5}$.
Steps to Solve
- Identify the greatest common divisor (GCD)
To simplify the fraction $\frac{36}{10}$, we first need to find the greatest common divisor of the numerator (36) and the denominator (10). The GCD is the largest number that divides both 36 and 10 without leaving a remainder.
- Finding the GCD
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The factors of 10 are: 1, 2, 5, 10.
The largest common factor is 2. So, the GCD of 36 and 10 is 2.
- Divide by the GCD
Now, we simplify the fraction by dividing both the numerator and denominator by the GCD (2):
$$ \frac{36 \div 2}{10 \div 2} = \frac{18}{5} $$
- Final fraction result
Thus, the simplified form of the fraction $\frac{36}{10}$ is $\frac{18}{5}$.
The simplified form of the fraction $\frac{36}{10}$ is $\frac{18}{5}$.
More Information
Simplifying fractions is a fundamental concept in mathematics that helps reduce numbers into their simplest forms. In this case, we found that dividing both the numerator and denominator by their GCD effectively simplified the fraction.
Tips
- Not finding the GCD: A common mistake is not determining the GCD correctly, which leads to incorrect simplification.
- Dividing incorrectly: Ensure that both the numerator and the denominator are divided by the same GCD.
