A square fraction is an easy operation. It is somewhat similar to squaring whole numbers. The operation requires you to multiply the denominator and numerator by itself. Sometimes, when you simplify the fraction, it will make the process easy. In general, it occurs before squaring. Squaring a fraction is easy. However, you have to learn some basic things. In this article, we will explain it. Read 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.”

Final Words

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.

What fraction is 2/3 squared?

4/9 is the squared value of 2/3.

How do you square fractions with variables?

Multiply the numbers in the two numerators together and the numbers in the two denominators together and apply the multiplication exponent rules to the variables by adding exponents of like bases. Here, you would end up with (16x^8)/(9r^4).

What is a rectangular fraction?

The rectangular fraction model is one of the more insightful ways to represent a fraction. We begin with a rectangle that represents the whole amount, and divide it into equal parts. Each part is a unit fraction.

How do you find the perfect square of a fraction?

IS 400 a perfect square?

What Is the Square Root of 400? The square root of a number is the number that when multiplied to itself gives the original number as the product. This shows that 400 is a perfect square.

Is 18 a perfect square?

In mathematics, a square is a product of a whole number with itself. For instance, the product of a number 2 by itself is 4. In this case, 4 is termed as a perfect square. A square of a number is denoted as n × n.

Example 1.

Integer Perfect square
17 x 17 289
18 x 18 324
19 x 19 361
20 x 20 400

What is the square of 1 2?

One-half squared is one-fourth.

What is the square of 1 to 30?

Square, Cube, Square Root and Cubic Root for Numbers Ranging 0 – 100
Number x Square x2 Cubic Root x1/3
28 784 3.037
29 841 3.072
30 900 3.107
31 961 3.141

What is the square of 11?

Table of Squares of Numbers
Digit Multiply by itself Square
8 8 64
9 9 81
10 10 100
11 11 121

What is the square of 7?

The square root of 7 is expressed as √7 in the radical form and as (7)½ or (7)0.5 in the exponent form.

Square Root of 7 in radical form: √7.

1. What Is the Square Root of 7?
6. FAQs on Square Root of 7

What does 7 cubed look like?

Learning Cube Numbers
0 Cubed = 0
6 Cubed = 216
7 Cubed = 343
8 Cubed = 512
9 Cubed = 729

What is the square of 25?

The square roots of 25 are √25=5 and −√25=−5 since 52=25 and (−5)2=25 . The principal square root of 25 is √25=5 .

What are the first 20 square numbers?

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 2, 5, 8, 10, 13, 17, 18, 20, 25, 26, 29, 32, 50, 65, 85, 125, 130, 145, 170, 185, 200,

What are the 20 perfect squares?

Perfect Square:
Positive Integer Integer Squared= Perfect Squares List
19 19 ^2 = 361
20 20 ^2 = 400
21 21 ^2 = 441
22 22 ^2 = 484

What is the 20 square number?

List of Perfect Squares
NUMBER SQUARE SQUARE ROOT
17 289 4.123
18 324 4.243
19 361 4.359
20 400 4.472

Why is 20 not a square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.

Is 26 a square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Thus, the square root of 26 is not an integer, and therefore 26 is not a square number.

What numbers can be shown Square?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.