Exploring Adding and Subtracting Rational Expressions

What is a complex fraction?

• A fraction with a variable in the numerator.

• A fraction with a numerator and denominator that are both whole numbers.

• A fraction where the numerator and/or denominator contains fractions.

• A fraction that cannot be simplified.

What is the first step in simplifying a complex fraction?

• Multiply by the reciprocal.

• Combine the fractions in the numerator and denominator into single fractions.

• Factor the numerator and denominator.

• Add the fractions in the numerator and denominator.

In the example with a/2 over a^2/4, what is the simplified form?

• a/2

• a/4

• 4/a

• 2/a

When simplifying 18p/(8p-2) divided by 4p^2/(4p-1), what is the result?

• 9/(2p)

• 18/(2p)

• 9/(4p)

• 18/(4p)

What is the simplified form of 7C + 35 over C divided by C + 5 over c^2?

• C

• 7

• 7C^2

• 7C

How do you handle a complex fraction with a non-fraction denominator like 12r - 12?

• Leave it as is.

• Convert it to a fraction by putting it over 1.

• Multiply by the reciprocal.

• Add a fraction to it.

What is the common denominator for the fractions 1/a^2 and 1/b^2?

• a + b

• ab

• a^2b^2

• a^2 + b^2

In the example with 1/4 + 1/4B over 1/B + 1/4, what is the simplified form?

• 4B over B + 1

• B + 1 over 4 + B

• 1 over 4B

• B over 4

What is the simplified form of 6 over xy multiplied by 8x^3 over 3y?

• 8x^3 over y^2

• 16x^3 over y^2

• 8x^2 over y

• 16x^2 over y^2

What is the result of simplifying K - 1 over K times K^2 over K^2 - 1?

• K over K + 1

• K - 1 over K + 1

• K + 1 over K

• K^2 over K + 1