Simplifying fractions can be a straightforward process if you follow the right steps. Here's how to simplify 11/5 in 5 easy steps:
Step 1: Check if the Fraction is Already Simplified
To start, we need to determine if the fraction 11/5 is already simplified. A simplified fraction is one where the numerator (11) and denominator (5) have no common factors other than 1. In this case, 11 and 5 are relatively prime, meaning they have no common factors other than 1.
Step 2: Identify the Greatest Common Divisor (GCD)
Since 11 and 5 are relatively prime, their greatest common divisor (GCD) is 1. This means that we cannot simplify the fraction further by dividing both the numerator and denominator by their GCD.
Step 3: Divide the Numerator and Denominator by the GCD
As the GCD is 1, we don't need to divide the numerator and denominator by the GCD. The fraction 11/5 is already in its simplest form.
Step 4: Check for Mixed Numbers or Improper Fractions
Since the numerator (11) is greater than the denominator (5), the fraction 11/5 is an improper fraction. To simplify it, we can convert it to a mixed number. To do this, we divide the numerator by the denominator and write the remainder as a fraction.
11 ÷ 5 = 2 with a remainder of 1
So, the mixed number equivalent of 11/5 is 2 1/5.
Step 5: Write the Simplified Fraction or Mixed Number
In this case, the simplified fraction is 11/5, which can be converted to a mixed number: 2 1/5.
In conclusion, by following these 5 easy steps, we can simplify the fraction 11/5. Remember to always check if the fraction is already simplified, identify the GCD, divide the numerator and denominator by the GCD, check for mixed numbers or improper fractions, and write the simplified fraction or mixed number.
Final Answer
The simplified fraction is 11/5, which can be converted to a mixed number: 2 1/5.
What is the definition of a simplified fraction?
+A simplified fraction is a fraction where the numerator and denominator have no common factors other than 1.
How do you convert an improper fraction to a mixed number?
+To convert an improper fraction to a mixed number, divide the numerator by the denominator and write the remainder as a fraction.
What is the greatest common divisor (GCD) of two numbers?
+The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without leaving a remainder.