Adding fractions may seem like a daunting task, but it’s actually quite simple. Whether you’re dealing with like fractions or unlike fractions, the process is the same. Here’s a step-by-step guide on how to add fractions.

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Step 1: Find a common denominator

The first step in adding fractions is to find a common denominator. A common denominator is a number that both denominators can be divided into evenly. For example, if you’re adding 1/2 and 3/4, the common denominator would be 4 because both denominators can be divided into 4 evenly.

Step 2: Convert the fractions to have the same denominator

Once you’ve found a common denominator, you need to convert each fraction so that it has the same denominator. You do this by multiplying the numerator and denominator of each fraction by the same number. For example, to convert 1/2 and 3/4 to have a common denominator of 4, you would multiply 1/2 by 2/2 and 3/4 by 1/1.

Now that the fractions have the same denominator, you can add the numerators together. Simply add the numerators and keep the denominator the same. For example, if you’re adding 1/2 and 3/4, you would add 2/4 and 3/4 to get 5/4.

Step 4: Simplify the fraction (if necessary)

If the fraction you get after adding the numerators can be simplified, you should simplify it. To simplify a fraction, divide both the numerator and denominator by their greatest common factor. For example, if you’re adding 2/3 and 1/3, you would add the numerators to get 3/3. Since 3/3 can be simplified to 1/1, the simplified answer would be 1.

After you’ve simplified the fraction (if necessary), give your answer in the simplest form. This means that the numerator and denominator should have no common factors other than 1. For example, if you’re adding 2/3 and 1/3, the answer would be 1 because 3/3 is equal to 1.

Adding mixed numbers is similar to adding fractions, but with an extra step. Here’s how to add mixed numbers:

Step 1: Convert the mixed numbers to improper fractions

The first step in adding mixed numbers is to convert them to improper fractions. To do this, multiply the whole number by the denominator of the fraction and add the numerator. The result is the numerator of the improper fraction, and the denominator stays the same. For example, to convert 1 1/2 to an improper fraction, you would multiply 1 by 2 and add 1 to get 3. The improper fraction would be 3/2.