In this article, we will explore the concept of simplifying fractions and specifically focus on simplifying the fraction 3/2. We will discuss what this question means and provide a step-by-step solution to find the simplified form of 3/2.
When we talk about simplifying a fraction, we mean expressing it in its simplest form by reducing the numerator and denominator to their smallest possible values. In the case of the fraction 3/2, we need to find an equivalent fraction with the smallest possible numerator and denominator.
The simplified form of the fraction 3/2 is 1 1/2 or 1.5.
To simplify a fraction, we can follow these steps:
Let's apply the method mentioned above to simplify the fraction 3/2:
Step 1: Find the GCD of 3 and 2.
Step 2: Divide both the numerator and denominator by the GCD.
Step 3: The simplified fraction is 3/2.
Example 1: Simplify the fraction 6/4.
Example 2: Simplify the fraction 9/12.
To find the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) of two numbers, follow these steps:
For example, to find the GCD of 12 and 18:
Simplifying fractions is an essential skill in mathematics. By finding the GCD and dividing both the numerator and denominator, we can express a fraction in its simplest form. In the case of the fraction 3/2, the simplified form is 1 1/2 or 1.5. Remember to always simplify fractions to make calculations and comparisons easier.