The world of fractions can be daunting, but don't worry, we're here to simplify the process for you. In this article, we'll take you through the steps to simplify 4.5 x 6ths in 5 easy steps.
Understanding the Concept of Fractions
Before we dive into the steps, it's essential to understand what fractions are. Fractions are a way of expressing a part of a whole. They consist of two parts: the numerator (the top number) and the denominator (the bottom number). In this case, we're dealing with a mixed number, 4.5, which is a combination of a whole number and a fraction.
Step 1: Convert the Mixed Number to an Improper Fraction
To simplify the calculation, we need to convert the mixed number, 4.5, to an improper fraction. To do this, we multiply the whole number part (4) by the denominator (2) and add the numerator (1). This gives us (4 x 2) + 1 = 9. So, 4.5 is equal to 9/2.
Step 2: Multiply the Numerators and Denominators
Now that we have the improper fraction, we can multiply it by 6ths. To do this, we multiply the numerators (9 and 6) and the denominators (2 and 1). This gives us (9 x 6) / (2 x 1) = 54/2.
Step 3: Simplify the Fraction
Now that we have the result of the multiplication, we can simplify the fraction. To do this, we divide the numerator (54) by the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 54 and 2 is 2. So, we divide 54 by 2, which gives us 27.
Step 4: Simplify the Fraction Further
We can simplify the fraction further by dividing the numerator (27) by the denominator (2) again. This gives us 13.5.
Step 5: Express the Answer as a Mixed Number
Finally, we can express the answer as a mixed number. Since the whole number part is 13, and the fraction part is 0.5, we can write the answer as 13 1/2.
Conclusion
And there you have it! We've simplified 4.5 x 6ths in 5 easy steps. Remember, simplifying fractions is all about finding the greatest common divisor and dividing the numerator and denominator by it. With practice, you'll become a pro at simplifying fractions in no time.
What is a fraction?
+A fraction is a way of expressing a part of a whole. It consists of two parts: the numerator (the top number) and the denominator (the bottom number).
How do I simplify a fraction?
+To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both numbers by it.
What is an improper fraction?
+An improper fraction is a fraction where the numerator is greater than the denominator.
We hope you found this article helpful in simplifying 4.5 x 6ths. If you have any more questions or need further clarification, feel free to ask in the comments section below. Don't forget to share this article with your friends and family who may find it helpful. Happy learning!