# Common Core: High School - Algebra : Rational Expressions: CCSS.Math.Content.HSA-APR.D.7

## Example Questions

### Example Question #1 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #2 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #3 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #2 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #3 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #4 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #6 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #4 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

### Example Question #5 : Rational Expressions: Ccss.Math.Content.Hsa Apr.D.7

Simplify:

Explanation:

The first step we need to take in order to simplify this expression is to find a common denominator.

We do this by multiplying by a clever form of one to each fraction.

Now we can use FOIL for the numerator and the denominator.

Now we can combine the fractions since they have a common denominator, and put the like terms together.

Simplify: