### All Algebra II Resources

## Example Questions

### Example Question #1 : Multiplying And Dividing Fractions

Solve the following equation to find .

**Possible Answers:**

**Correct answer:**

The first step in solving this equation is to add the fractions, giving us:

To solve for , we need to divide both sides by .

**Remember:** When we divide a number by a fraction, we "switch" (find the reciprocal) of the fraction and mulitply it to the number.

The right side of the equation cancels out leaving alone:

**Notice: **Both the numerator and denominator are divisble by so we can simplify this further.

### Example Question #2 : Multiplying And Dividing Fractions

Simplify .

**Possible Answers:**

**Correct answer:**

The problem can be made easier by first simplifying each fraction: and .

This brings our new problem to .

Now, the numerators are multiplied by each other then the denomenators are multiplied by each other: .

### Example Question #1 : Multiplying And Dividing Fractions

Simplify .

**Possible Answers:**

**Correct answer:**

To solve, we must turn the division problem into a multiplication problem by "flipping" the second fraction (dividing by a fraction is the same as multiplying by its reciprocal):

.

Then, we multiply the numerators followed by the denomenators:

.

Lastly, the fraction must be simplified by a factor of 3:

, which gives us our final answer.

### Example Question #4 : Multiplying And Dividing Fractions

Multiply:

**Possible Answers:**

**Correct answer:**

To multiply fractions, just multiply the numerators, then the denominators, and then simplify.

### Example Question #5 : Multiplying And Dividing Fractions

Multiply:

**Possible Answers:**

**Correct answer:**

To multiply fractions, multiply the numerators and denominators together, then simplify.

### Example Question #6 : Multiplying And Dividing Fractions

Multiply:

**Possible Answers:**

**Correct answer:**

Multiply the numerators and denominators. Then, simplify.

### Example Question #7 : Multiplying And Dividing Fractions

Multiply:

**Possible Answers:**

**Correct answer:**

Multiply the numerators and denominators, then simplify.

### Example Question #8 : Multiplying And Dividing Fractions

Simplify:

**Possible Answers:**

**Correct answer:**

In order to divide fractions, you need to multiply the first fraction by the reciprocal of the second one.

Now, multiply the numerators and denominators together, then simplify.

### Example Question #8 : Solving Rational And Fractional Functions

Simplify:

**Possible Answers:**

**Correct answer:**

To divid fractions, you need to multiply the first fraction by the reciprocal of the second.

Now, multiply the numerators and denominators together, then simplify.

### Example Question #9 : Solving Rational And Fractional Functions

Simplify:

**Possible Answers:**

**Correct answer:**

To divide fractions, you need to multiply the first fraction by the reciprocal of the second.

Now, multiply the numerators and denominators, then simplify.