A square fraction is an easy operation.
It is somewhat similar to squaring whole numbersThe operation requires you to multiply the denominator and numerator by itselfSometimes, when you simplify the fraction, it will make the process easyIn general, it occurs before squaringSquaring a fraction is easyHowever, you have to learn some basic thingsIn this article, we will explain itRead on!
How to square fractions?
First, you need to know about the whole numbers and how you can square them. For example, when you have an exponent of two numbers, you can easily find the square. If you want to do this, you will multiply the number by itself. For instance, 3 (square) = 3 x3, which is equal to 9.
Remember, the operation works in the same way. Again, if you want it, you will multiply the number by itself. You can think of it as multiplying the numerator by itself. Also, you will multiply the denominator by itself. For example, 3/3 (square) = 3/3 x 3/3, which is equal to 9/9.
Moreover, multiply the denominator and numerator by itself. It does not matter if you continue the multiplication in the actual order. However, you must achieve the square of both numbers. Simply put, you can start with the numerator and multiply the number by itself. Then, you will do the same with the denominator.
Remember, at the top, you will write the numerator while at the bottom, you will keep the denominator. Let us give you another example: 6/3 (square) is equal to 6×6/3×3, which is then equal to 36/9.
It is a nice idea to finish the fraction by simplifying it. While you work with them, you will reduce it to the simplest form. Also, you can write it in the mixed number form. For instance, 36/9 is an improper fraction.
The reason is that the numerator has greater value than the denominator. If you want to covert the mixed number, then you will divide 9 into 36, which will give you the answer “3.”
How to square negative numbers?
First, you will see the negative sign, which is usually at the front. If you work with a negative number, you will put a negative sign in front of that number. It is always a great practice to use parentheses around each negative number.
Thus, you will know that the sign refers to the negative number and not the subtraction. For example, (-6/2). As you can see, the negative sign shows that the fraction is negative. Again, it is important to multiply the numbers by itself. Square it as you did in the previous section. It means you will multiply the numerator by itself and the denominator by itself too.
On the other hand, it is a wise idea to simplify the fraction before you multiply the numbers. An example of this is (-6/3) square is equal to (-6/3) x (-6/3). When two negative numbers multiply with each other, the result is a positive number. It is a simple rule that you may have learned in school. For instance, (-3) x (-5) = (+15).
You will remove the minus sign after squaring the numbers. Once done, multiply the negative numbers. So, you will get a positive result. Make sure that you write the final answer without putting the minus sign.
Let us give you another example, (-3/9) x (-3/9) = (+9/81). There is no need to put the plus sign. We have added it just for the demonstration so that you can understand how the operation works.
How to simplify the fraction
Before you square the fraction of the number, make sure you find out whether or not you can simplify them. Reducing the fractions before performing the operation of squaring is a good idea. Keep in mind that you can reduce it by dividing the number by a common factor. For example, you have a 15/30 square.
Now, you can divide both these numbers by 3. Again, 15/3 = 5 and 30/3 = 10. Also, you can divide these numbers by 5 as well. 15/5 = 3 and 30/5 = 6. So, you can do it either way. The choice is yours. So, both 3 and 5 are common division factors of the numbers 15 and 30.
Let us talk about how you can use an exponent shortcut method—for example, 3 x (12/3) square. You can rewrite the denominator and the numerator as 3 x (12 square divided by 3 square). Cancel out the exponent of the denominator, and you will get the result of 12/3. Now, when you further simplify the fraction, you will get the final result, and that is “4.”
As you can see, it is very easy to solve the problem using simple techniques that we have shown you in this article. You can practice these methods with more difficult fractions. Thus, you will master the skill of squaring the fraction.