3 15 Simplified Calculator
The fraction 3/15 can be simplified to its lowest terms using basic division. This calculator provides an easy way to verify the simplified form and understand the mathematical process.
How to Simplify 3/15
Simplifying a fraction involves dividing both the numerator and denominator by their greatest common divisor (GCD). For 3/15:
- Identify the GCD of 3 and 15. The factors of 3 are 1 and 3. The factors of 15 are 1, 3, 5, and 15. The greatest common factor is 3.
- Divide both the numerator and denominator by 3: 3 ÷ 3 = 1 and 15 ÷ 3 = 5.
- The simplified form of 3/15 is 1/5.
Formula: Simplified fraction = (Numerator ÷ GCD) / (Denominator ÷ GCD)
Step-by-Step Simplification
Let's walk through the simplification process:
- Start with the original fraction: 3/15
- Find the GCD of 3 and 15: 3
- Divide numerator by GCD: 3 ÷ 3 = 1
- Divide denominator by GCD: 15 ÷ 3 = 5
- Combine the results: 1/5
The simplified form of 3/15 is 1/5. This means that for every 1 part of the whole, there are 5 equal parts represented by the denominator.
Real-World Example
Imagine you have 3 slices of pizza and want to divide them equally among 15 friends. To find out how many slices each friend gets:
- Start with the fraction 3/15
- Simplify to 1/5
- Each friend gets 1/5 of the pizza
This means each friend receives 0.2 or 20% of the whole pizza.
Frequently Asked Questions
- What is the simplified form of 3/15?
- The simplified form of 3/15 is 1/5.
- How do you simplify fractions?
- To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
- What is the GCD of 3 and 15?
- The GCD of 3 and 15 is 3.
- Can all fractions be simplified?
- Yes, any fraction can be simplified to its lowest terms by dividing by the GCD of the numerator and denominator.
- What is the decimal equivalent of 1/5?
- The decimal equivalent of 1/5 is 0.2.