Question

Как правильно складывать дроби?

Answer 1

How to Add Fractions

Adding fractions involves combining two or more fractions into a single fraction. To add fractions, follow these steps:

1. 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 is divisible by all the denominators of the fractions you want to add. If the fractions already have the same denominator, you can skip this step.

2. Step 2: Convert the fractions - Once you have a common denominator, you need to convert the fractions so that they have the same denominator. To do this, multiply the numerator and denominator of each fraction by the same number that will make the denominator equal to the common denominator.

3. Step 3: Add the numerators - After converting the fractions to have the same denominator, you can add the numerators together. Keep the denominator the same.

4. Step 4: Simplify (if necessary) - If possible, simplify the resulting fraction by reducing the numerator and denominator to their lowest terms.

Let's look at an example to illustrate these steps:

Example: Suppose we want to add the fractions 1/4 and 3/8.

Step 1: Find a common denominator The common denominator for 1/4 and 3/8 is 8.

Step 2: Convert the fractions To convert 1/4 to have a denominator of 8, we multiply the numerator and denominator by 2: 1/4 * 2/2 = 2/8

To convert 3/8 to have a denominator of 8, we don't need to do anything since it already has the desired denominator.

Step 3: Add the numerators 2/8 + 3/8 = 5/8

Step 4: Simplify (if necessary) The fraction 5/8 is already in its simplest form, so we don't need to simplify it further.

Therefore, the sum of 1/4 and 3/8 is 5/8.

It's important to note that these steps apply to adding fractions with like denominators. If the fractions have different denominators, you need to find a common denominator before proceeding with the addition.

I hope this explanation helps! Let me know if you have any further questions.