# Algebra II : Multiplying and Dividing Fractions

## Example Questions

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

Solve the following equation to find  Possible Answers:    Correct answer: Explanation:

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: Explanation:

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 #3 : Multiplying And Dividing Fractions

Simplify .

Possible Answers:     Correct answer: Explanation:

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: Explanation:

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: Explanation:

To multiply fractions, multiply the numerators and denominators together, then simplify. ### Example Question #6 : Multiplying And Dividing Fractions

Multiply: Possible Answers:    Correct answer: Explanation:

Multiply the numerators and denominators. Then, simplify. ### Example Question #7 : Multiplying And Dividing Fractions

Multiply: Possible Answers:    Correct answer: Explanation:

Multiply the numerators and denominators, then simplify. ### Example Question #8 : Multiplying And Dividing Fractions

Simplify: Possible Answers:    Correct answer: Explanation:

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 #9 : Multiplying And Dividing Fractions

Simplify: Possible Answers:    Correct answer: Explanation:

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 #181 : Fractions

Simplify: Possible Answers:    Correct answer: Explanation:

To divide fractions, you need to multiply the first fraction by the reciprocal of the second. Now, multiply the numerators and denominators, then simplify. ← Previous 1 3 4 5 6 7 8 9 10 11

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