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# How do you solve rational equations?

## How do you solve rational equations?

1. Solution:
2. Step 1: Factor all denominators and determine the LCD.
3. Step 2: Identify the restrictions. In this case, they are x≠−2 x ≠ − 2 and x≠−3 x ≠ − 3 .
4. Step 3: Multiply both sides of the equation by the LCD.
5. Step 4: Solve the resulting equation.
6. Step 5: Check for extraneous solutions.

## How do you solve rational equations with different denominators?

One way of solving rational equations with unlike denominators is to multiply both sides of the equation by the least common multiple of the denominators of all the fractions contained in the equation. This eliminates the denominators and turns the rational equation into a polynomial equation.

## What are the rules or steps to follow in solving rational expressions?

Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.

## What is the LCD of 12 and 9?

Your common denominator would be 36. Another way to find this would be to multiply each fraction by the other fractions denominator.

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## What is the GCF of 4 and 7?

What is the GCF of 4 and 7? The GCF of 4 and 7 is 1.

## What is the GCF of 15 and 30?

Example: What is the greatest common factor of 15 and 30? The common factors of 15 and 30 are 1, 3, 5, and 15. The greatest common factor is 15.

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## What is the GCF of 16 and 32?

Greatest common factor (GCF) of 16 and 32 is 16.

## What is the GCF of 36 12 and 24?

The common factors for 24,36,12 24 , 36 , 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF (HCF) of the numerical factors 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 is 12 .

## What is the GCF of 18 and 36?

The biggest common factor number is the GCF number. So the greatest common factor 18 and 36 is 18.

## What is the GCF of 24 and 32?

Answer: GCF of 24 and 32 is 8.

## What is the GCF of 32?

Answer: Factors of 32 are 1, 2, 4, 8, 16, 32. There are 6 integers that are factors of 32. The greatest factor of 32 is 32. 4.

## What is the GCF of 12 and 30?

Earlier we found that the Common Factors of 12 and 30 are 1, 2, 3 and 6, and so the Greatest Common Factor is 6. The Greatest Common Factor of 12 and 30 is 6.

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## What is the HCF of 18 30?

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