Mathematics is one of the subjects that is often considered difficult by many people. One of the things that often makes it difficult to understand mathematics is when we have to equate denominators in mathematical operations. However, don't worry! In this article, we will discuss in full and informatively about how to equate denominators so that you can improve your understanding and quality in mathematics. Keep reading this article to get the tips and tricks!

## 1. What is a Denominator in Mathematics?

Before we learn how to equate denominators, it is a good idea to first understand what a denominator is in mathematics. A denominator is the part of a fraction that is located below the fraction line. For example, in the fraction ⅔, the denominator is the number 3. This denominator shows the number of parts in a whole.

## 2. Why is it Important to Equate the Denominators?

Equating the denominator is an important step in performing mathematical operations, especially in the addition and subtraction of fractions. By equating the denominator, we can make two fractions have the same denominator, making it easier for us to add or reduce the fraction. Without equalizing the denominators, the process of adding and subtracting fractions will be complicated and inaccurate.

## 3. How to Make the Denominators of Fractions with Different Numbers the Same

When we want to make the denominators of fractions with different denominators the same, the steps are as follows:

**a. Identify the least common multiple (LCM) of the two denominators.**

The first step that needs to be done is to identify the LCM of the two denominators. The LCM is a multiple of the number that is at least the same size. For example, if we have the fractions ⅓ and ¼, the LCM of 3 and 4 is 12.

**b. Change the fractions according to the LCM**

After determining the LCM, the next step is to change the two fractions according to the LCM. For example, for the fraction ⅓, we will multiply the denominator and numerator by 4 to get 4/12. Likewise for the fraction ¼, we will multiply the denominator and numerator by 3 to get 3/12.

**c. Perform mathematical operations**

After equating the denominators, we can perform normal math operations. For example, to add 4/12 and 3/12, we simply add the numerators to get 7/12.

## 4. Examples of Equalizing Denominators

To better understand how to equate denominators, here is an example problem you can try:

**Question:**

Add the following fractions: ⅖ + ⅗

**Solution:**

The first step is to find the LCM of 5 and 3, which is 15. Then, change both fractions according to the LCM:

⅖ = 6/15

⅗ = 9/15

Next, add the two fractions together:

6/15 + 9/15 = 15/15 = 1

So, the sum of ⅖ and ⅗ is 1.

## 5. Common Mistakes in Equating Denominators

There are several common mistakes that are often made when equating denominators, including:

**a. Not looking for the right KPK**

One common mistake is not finding the correct LCM of both denominators. This can result in difficulty in equating the denominators and making the final result inaccurate.

**b. Multiplying the denominator by any number**

Some people often multiply the denominator by a random number without considering the LCM that should be used. This will result in errors in solving the problem.

## 6. Tips and Tricks in Equalizing Denominators

To help you make it easier to equalize denominators, here are some tips and tricks you can use:

**– Use the KPK as the main reference**

In equating the denominators, always use the LCM as the main reference. This will make it easier for you to determine the right number to equate the two denominators.

**– Practice questions regularly**

Regular practice is the key to improving your ability to equate denominators. The more you practice, the better you will be at performing this mathematical operation.

## 7. Conclusion

Equalizing denominators is an important step in mathematics, especially in adding and subtracting fractions. By understanding the steps and tips that we have provided above, it is hoped that you can be more proficient in equalizing denominators and improve the quality of your mathematics. Don't hesitate to keep practicing and trying out practice questions to improve your understanding. Good luck!