Cal11 calculator

3 15 Simplified Calculator

Reviewed by Calculator Editorial Team

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:

  1. 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.
  2. Divide both the numerator and denominator by 3: 3 ÷ 3 = 1 and 15 ÷ 3 = 5.
  3. 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:

  1. Start with the original fraction: 3/15
  2. Find the GCD of 3 and 15: 3
  3. Divide numerator by GCD: 3 ÷ 3 = 1
  4. Divide denominator by GCD: 15 ÷ 3 = 5
  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:

  1. Start with the fraction 3/15
  2. Simplify to 1/5
  3. 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.