Simplify 10/100
Understand the Problem
The question is asking for the simplification of the fraction 10/100. This involves reducing the fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor.
Answer
The simplified fraction is $\frac{1}{10}$.
Answer for screen readers
The simplified form of the fraction $\frac{10}{100}$ is $\frac{1}{10}$.
Steps to Solve
- Identify the Greatest Common Divisor (GCD)
To simplify the fraction $\frac{10}{100}$, we first need to find the GCD of 10 and 100.
The GCD of two numbers is the largest number that divides both without leaving a remainder. In this case, the GCD is 10.
- Divide Numerator and Denominator by the GCD
Next, we divide both the numerator (10) and the denominator (100) by the GCD (10):
$$ \frac{10 \div 10}{100 \div 10} $$
This simplifies to:
$$ \frac{1}{10} $$
- Write the Final Simplified Fraction
The final and simplest form of the fraction is $\frac{1}{10}$.
The simplified form of the fraction $\frac{10}{100}$ is $\frac{1}{10}$.
More Information
Simplifying fractions is an important skill in math, and it helps in various applications, such as solving equations, comparing sizes, and working with ratios. Reducing fractions improves clarity and efficiency in mathematical communication.
Tips
- Not Finding the GCD: One common mistake is skipping the step of finding the GCD, which may lead to incorrect simplification.
- Dividing Incorrectly: Ensure that both the numerator and denominator are divided by the GCD accurately.
AI-generated content may contain errors. Please verify critical information
