Operations with Rational Expressions: Addition and Subtraction

What is the first step when adding fractions?

• Find the least common multiple

• Multiply the numerators

• Add the denominators directly

• Subtract the numerators

What must be true for the denominators in fraction addition?

• They must be different

• They must be the same

• They can be any value

• None of the above

When subtracting fractions, what is a recommended strategy to avoid mistakes?

• Multiply the fractions

• None of the above

• Add the opposite

• Divide the fractions

What is essential to find when subtracting fractions?

• Variable part of the denominator

• Highest common factor

• Lowest common denominator

• Numerical coefficient

What is the 'fraction buster' method primarily used for?

• Adding fractions

• Simplifying complex fractions

• Multiplying fractions

• Subtracting fractions

In the context of complex fractions, what does 'busting' the fractions involve?

• Dividing by the greatest common divisor

• Eliminating all denominators

• Adding fractions together

• Multiplying all terms by the least common denominator

What is the first step in dividing fractions?

• Find the common denominator

• Subtract the fractions

• Add the fractions

• Multiply by the reciprocal

When dividing fractions, what transformation is applied to the second fraction?

• It is squared

• It is left unchanged

• It is cubed

• Its numerator and denominator are swapped

What must be done to every numerator and denominator in a multiplication of fractions?

• They must be multiplied by two

• They must be simplified

• They must be factored

• They must be squared

What is the result of simplifying the expression when factors are cancelled in a fraction multiplication?

• A simpler fraction

• A complex number

• An integer

• A polynomial