GRE Math : How to subtract rational expressions with different denominators

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #1 : Expressions

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify this expression, first multiply both terms by the denominator of the other over itself:

Now that you have a common denominator, you may subtract:

Example Question #1 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify this problem, multiply each term by the denominator of the other over itself:

Now that both terms share a denominator, you can subtract:

Example Question #2 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first multiply each term of the original expression by the denomenator of the other over itself:

Then you will have two terms with a common denomenator:

Combine the terms and simplify for your final answer:

Example Question #293 : Algebra

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify this problem, multiply each term by the denomenator of the other over itself:

Then you will yield terms with a like denomenator, which can be combined:

Example Question #294 : Algebra

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify the expression, first multiply each term by the denomenator of the other over itself:

Then you yield terms with common denomenators, which can be combined:

 

Example Question #3 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify, first multiply each of the terms by the denomenator of the other over itself:

Then you will get terms with a common denomenator, which can be combined:

Example Question #4 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify, first multiply each of the terms by the denomenator of the other over itself:

You will yield terms with a common denomenator, which can be combined:

Example Question #297 : Algebra

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify, multiply each of the terms by the denomenator of the other, over itself:

You will yield terms with a common denomenator, which can be combined:

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