Q7. - Algebra 1

Question

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

 

A rational expression has one or more fractions in the numerator and denominator.

Step-by-Step Solution

Answer

The given statement is True.

Step 1. State the concept.

A rational expression is an algebraic expression whose numerator and denominator are polynomials. Also, division by 0 is undefined, so therefore, the polynomials in the denominator cannot be zero and the values for which the denominator is zero is termed as excluded values for the respective rational expression.

Step 2. Explanation of the statement.

In a complex fraction, $\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$, wherein there are one or more fractions in the numerator and denominator where a, b, c, and d can be numbers or polynomials.

Step 3. Write the corrected statement.

The given statement is false. And the corrected statement is “A complex fraction has one or more fractions in the numerator and denominator.”.