15/2 Simplified Calculator

Simplifying fractions is a fundamental math skill that helps you express fractions in their most reduced form. This calculator makes it easy to simplify 15/2 and understand the process step by step.

How to Simplify 15/2

Simplifying a fraction involves reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). Here's how to simplify 15/2:

Formula

To simplify a fraction a/b:

Find the GCD of a and b
Divide both a and b by the GCD
The result is the simplified fraction

For 15/2:

The numerator is 15
The denominator is 2
The GCD of 15 and 2 is 1 (since 2 is a prime number and doesn't divide 15)

Since the GCD is 1, 15/2 is already in its simplest form.

Step-by-Step Simplification

Identify the numerator and denominator

For 15/2:
- Numerator (top number): 15
- Denominator (bottom number): 2
Find the greatest common divisor (GCD)

List the factors of each number:
- Factors of 15: 1, 3, 5, 15
- Factors of 2: 1, 2
The only common factor is 1, so the GCD is 1.
Divide both numbers by the GCD

15 ÷ 1 = 15

2 ÷ 1 = 2

This gives us the simplified fraction 15/2.

Worked Examples

Example 1: Simplify 15/2

As shown above, 15/2 is already in its simplest form because the GCD of 15 and 2 is 1.

Example 2: Simplify 30/6

Find the GCD of 30 and 6:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 6: 1, 2, 3, 6
GCD is 6

Divide both numbers by 6:

30 ÷ 6 = 5

6 ÷ 6 = 1

Simplified fraction: 5/1 or simply 5

Frequently Asked Questions

Is 15/2 already simplified?

Yes, 15/2 is already in its simplest form because the greatest common divisor of 15 and 2 is 1.

How do I simplify fractions?

To simplify a fraction:

Find the greatest common divisor (GCD) of the numerator and denominator
Divide both the numerator and denominator by the GCD
The result is the simplified fraction

What is the GCD of 15 and 2?

The greatest common divisor of 15 and 2 is 1 because 2 is a prime number and doesn't divide 15.