# Simplifying Algebraic Fractions

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Questions: 5 | Attempts: 556

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Diagnostic quiz on simplifying algebraic fractions

• 1.

### Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question.

Explanation
The given algebraic fraction is already in its simplest form. The numerator is 5 and the denominator is x^3, which means that there are no common factors that can be canceled out. Therefore, the fraction 5/x^3 cannot be simplified any further.

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• 2.

### Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question.

Explanation
The given algebraic fraction is already in its simplest form. The numerator is 4x^2 and the denominator is y^5. There are no common factors that can be simplified further. Therefore, the expression 4x^2/y^5 is already in its simplest form.

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• 3.

### Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS.

Explanation
If you wrote:
7-y/x^2
this is not correct because using BIDMAS we would get a different answer.

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• 4.

### Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS.

Explanation
The given algebraic fraction is already in its simplest form. It cannot be simplified further.

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• 5.

### Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS.

Explanation
The given algebraic fraction is already in its simplest form. The numerator is x and the denominator is x+2, which cannot be simplified further. Therefore, the answer is x/(x+2).

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Oct 25, 2011
Quiz Created by
Mrbaig

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