Algebra II : Multiplying and Dividing Fractions

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #1851 : Mathematical Relationships And Basic Graphs

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 #1852 : Mathematical Relationships And Basic Graphs

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 #5 : Division With 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 #1853 : Mathematical Relationships And Basic Graphs

Multiply:

Possible Answers:

Correct answer:

Explanation:

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

Example Question #1854 : Mathematical Relationships And Basic Graphs

Multiply:

Possible Answers:

Correct answer:

Explanation:

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

Example Question #1855 : Mathematical Relationships And Basic Graphs

Multiply:

Possible Answers:

Correct answer:

Explanation:

Multiply the numerators and denominators. Then, simplify.

Example Question #1856 : Mathematical Relationships And Basic Graphs

Multiply:

Possible Answers:

Correct answer:

Explanation:

Multiply the numerators and denominators, then simplify.

Example Question #1857 : Mathematical Relationships And Basic Graphs

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 #1858 : Mathematical Relationships And Basic Graphs

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 #1 : Multiplying And Dividing 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.

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