## How do you simplify and solve equations?

Here are the basic steps to follow to simplify an algebraic expression:

- remove parentheses by multiplying factors.
- use exponent rules to remove parentheses in terms with exponents.
- combine like terms by adding coefficients.
- combine the constants.

**How do you simplify algebraic?**

To simplify any algebraic expression, the following are the basic rules and steps:

- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.

### How do you solve fractions with denominators?

- Step 1: If needed, rewrite the numerator and denominator so that they are each a single fraction.
- Step 2: Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator.
- Step 3: If needed, simplify the rational expression.

**How do you add mixed numbers with different denominators?**

- To add mixed numbers, we first add the whole numbers together, and then the fractions.
- If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding.
- Subtracting mixed numbers is very similar to adding them.

#### How do you rationalize denominators?

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

- Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
- Step 2: Make sure all radicals are simplified.
- Step 3: Simplify the fraction if needed.

**Why do we need to rationalize the denominator?**

The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.