Mastering Fractions: Simplifying 3 1/8 in 3 Easy Steps
Fractions can be intimidating, but with a step-by-step approach, anyone can learn to simplify them. In this article, we'll focus on simplifying the fraction 3 1/8 in three easy steps.
Understanding the Basics of Fractions
Before diving into simplifying 3 1/8, let's quickly review the basics of fractions. A fraction consists of a numerator (the top number) and a denominator (the bottom number). In the case of 3 1/8, the numerator is 1, and the denominator is 8. The number 3 in front of the fraction is called the whole number.
Step 1: Converting the Mixed Number to an Improper Fraction
To simplify 3 1/8, we need to convert it to an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator. To do this, multiply the whole number (3) by the denominator (8), then add the numerator (1).
3 × 8 = 24 24 + 1 = 25
So, the improper fraction is 25/8.
Step 2: Finding the Greatest Common Divisor (GCD)
The next step is to find the greatest common divisor (GCD) of the numerator (25) and the denominator (8). The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 25 are: 1, 5, 25 The factors of 8 are: 1, 2, 4, 8
The greatest common divisor is 1.
Step 3: Simplifying the Fraction
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
Numerator: 25 ÷ 1 = 25 Denominator: 8 ÷ 1 = 8
The simplified fraction is still 25/8.
What Does It Mean?
In this case, the fraction 3 1/8 cannot be simplified further. However, we can convert it to a decimal or a percentage to make it more understandable.
3 1/8 = 3.125 (decimal) 3 1/8 = 312.5% (percentage)
Conclusion
Simplifying fractions is a valuable skill that can help you in various mathematical and real-world applications. By following these three easy steps, you can simplify any fraction, including 3 1/8. Remember to practice regularly to become more confident in your ability to work with fractions.
If you have any questions or comments, feel free to share them below!
What is a mixed number?
+A mixed number is a combination of a whole number and a fraction. For example, 3 1/8 is a mixed number.
What is an improper fraction?
+An improper fraction is a fraction where the numerator is greater than the denominator. For example, 25/8 is an improper fraction.
What is the greatest common divisor (GCD)?
+The greatest common divisor (GCD) is the largest number that divides both numbers without leaving a remainder. For example, the GCD of 25 and 8 is 1.