15 18 Simplified Calculator
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Reviewed by Calculator Editorial Team
This calculator simplifies the fraction 15/18 to its simplest form. Learn how to reduce fractions and understand the mathematical process behind it.
How to Simplify Fractions
Simplifying a fraction means reducing it to its simplest form where the numerator and denominator have no common factors other than 1. Here's how to simplify 15/18:
Step 1: Find the Greatest Common Divisor (GCD)
The first step is to find the greatest common divisor (GCD) of the numerator (15) and the denominator (18). The GCD is the largest number that divides both numbers without leaving a remainder.
Step 2: Divide Numerator and Denominator by GCD
Once you have the GCD, divide both the numerator and the denominator by this number to get the simplified fraction.
18 ÷ 3 = 6
Simplified fraction = 5/6
Step 3: Verify the Simplified Fraction
Check that the simplified fraction (5/6) is indeed in its simplest form by ensuring there are no common factors between the numerator and denominator.
The simplified form of 15/18 is 5/6. This means that 5/6 is the most reduced form of the original fraction.
Worked Example
Let's walk through another example to solidify your understanding. Suppose you want to simplify 24/36.
Step 1: Find the GCD of 24 and 36
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The greatest common factor is 12.
Step 2: Divide Numerator and Denominator by GCD
Divide both the numerator and the denominator by 12 to simplify the fraction.
36 ÷ 12 = 3
Simplified fraction = 2/3
Step 3: Verify the Simplified Fraction
Check that 2/3 is in its simplest form by confirming there are no common factors between 2 and 3.
The simplified form of 24/36 is 2/3. This demonstrates the process of simplifying fractions.
Frequently Asked Questions
- What is the simplified form of 15/18?
- The simplified form of 15/18 is 5/6. This is achieved by dividing both the numerator and denominator by their greatest common divisor, which is 3.
- How do I simplify a fraction?
- To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD. The result is the simplified fraction.
- What is the difference between simplifying and reducing a fraction?
- Simplifying and reducing a fraction mean the same thing. Both processes involve finding the GCD and dividing both the numerator and denominator by it to get the simplest form.
- Can all fractions be simplified?
- Yes, all fractions can be simplified to their simplest form. If the numerator and denominator have no common factors other than 1, the fraction is already in its simplest form.
- What is the GCD of 15 and 18?
- The greatest common divisor (GCD) of 15 and 18 is 3. This is the largest number that divides both 15 and 18 without leaving a remainder.