# How do you simplify complex fractions with radicals?

## How do you simplify complex fractions with radicals?

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.

## How do you simplify a complex denominator?

How to simplify complex fractions

- Convert mixed numbers to improper fractions.
- Reduce all fractions when possible.
- Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
- Multiply both the numerator and the denominator of the complex fraction by the LCD.

**What to do if you have a fraction in the denominator?**

- 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.

**What does simplifying radicals mean?**

Simplifying radicals is the process of manipulating a radical expression into a simpler or alternate form. Generally speaking, it is the process of simplifying expressions applied to radicals.

### How do you simplify fractions with radicals in the denominator?

To simplify a fraction with a radical in the denominator, multiply the fraction by that same radical over itself (any number over itself- other than zero- is equivalent to 1, so you’re essentially just multiplying the first fraction by 1, making the product of the fractions equivalent to the first fraction).

### How do you simplify complex fractions to single fractions?

First, we would simplify both the numerator and denominator of our complex fraction to single fractions. To simplify the numerator, we will use a LCM of 15 by multiplying 3/5 by 3/3. Our numerator becomes 9/15 + 2/15, which equals 11/15. To simplify the denominator, we will use a LCM of 70 by multiplying 5/7 by 10/10 and 3/10 by 7/7.

**How do you divide complex fractions with different denominators?**

Apply the division rule of fractions by multiplying the numerator by the reciprocal or inverse of the denominator. Simplify, if necessary. Find the Least Common Denominator (LCD) of all the denominators in the complex fractions. Multiply this LCD to the numerator and denominator of the complex fraction. Simplify, if necessary.

**How do you find the number under a radical?**

Multiplying the radical in the denominator of the first fraction by itself (and also multiplying that same radical by the first numerator) will give you a fraction with a new denominator, which will be the number under the radical. This is because if you multiply a square root (radical) by