Simplifying fractions is a fundamental math concept that can be broken down into easy-to-follow steps. Let's take the fraction 6/2 and simplify it in 3 easy steps:
Step 1: Identify the Greatest Common Divisor (GCD)
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (6) and the denominator (2). The GCD is the largest number that divides both numbers without leaving a remainder. In this case, the GCD of 6 and 2 is 2.
Why is the GCD important?
The GCD is essential in simplifying fractions because it allows us to divide both the numerator and the denominator by the same number, which reduces the fraction to its simplest form.
Step 2: Divide Both Numbers by the GCD
Now that we have identified the GCD as 2, we can divide both the numerator (6) and the denominator (2) by 2.
6 ÷ 2 = 3 2 ÷ 2 = 1
This results in a new fraction: 3/1.
What does this mean?
By dividing both numbers by the GCD, we have reduced the fraction to its simplest form. In this case, the fraction 6/2 simplifies to 3/1.
Step 3: Write the Simplified Fraction
The final step is to write the simplified fraction. Since the denominator is 1, we can simply write the numerator as the final answer.
3/1 = 3
What's the final answer?
The simplified fraction 6/2 is equal to 3.
Now that we've simplified the fraction 6/2 in 3 easy steps, you can apply this process to simplify other fractions and become a math master!
Do you have any questions about simplifying fractions? Share your thoughts in the comments below!
What is the purpose of simplifying fractions?
+Simplifying fractions makes it easier to work with them in mathematical calculations and comparisons.
How do I know if a fraction is already simplified?
+A fraction is already simplified if the greatest common divisor (GCD) of the numerator and denominator is 1.
Can I simplify fractions with larger numbers?
+Yes, the same process applies to simplifying fractions with larger numbers. Simply find the GCD and divide both numbers by it.