Simplifying fractions is a basic math concept that can be a bit tricky, but don't worry, I'm here to help. Let's break down the fraction 9/6 into its simplest form in 5 easy steps.
Step 1: Identify the Greatest Common Divisor (GCD)
To simplify a fraction, we need to find the greatest common divisor (GCD) of both the numerator (9) and the denominator (6). The GCD is the largest number that divides both numbers without leaving a remainder. In this case, the GCD of 9 and 6 is 3.
Step 2: Divide the Numerator by the GCD
Now that we have the GCD, we can divide the numerator (9) by 3. This gives us 9 ÷ 3 = 3.
Step 3: Divide the Denominator by the GCD
Similarly, we divide the denominator (6) by 3. This gives us 6 ÷ 3 = 2.
Step 4: Write the Simplified Fraction
Now that we have the results from steps 2 and 3, we can write the simplified fraction. The new numerator is 3, and the new denominator is 2. Therefore, the simplified fraction is 3/2.
Step 5: Verify the Answer
Finally, let's verify our answer by checking if the original fraction (9/6) is equal to the simplified fraction (3/2). We can do this by multiplying both the numerator and denominator of the simplified fraction by 3, which gives us 9/6. Since 9/6 equals 3/2, our answer is correct.
And that's it! By following these 5 easy steps, we simplified the fraction 9/6 to its simplest form, which is 3/2.
Do you have any questions or need further clarification? Feel free to ask in the comments below.
What is the definition of a fraction?
+A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number), separated by a horizontal line.
Why do we need to simplify fractions?
+Simplifying fractions helps us to express them in their most basic form, making it easier to compare, add, and multiply fractions.
Can all fractions be simplified?
+No, not all fractions can be simplified. If the numerator and denominator have no common factors other than 1, the fraction is already in its simplest form.