Question

divide. write the quotient in simplified form.
$-\frac{11}{12} \div 22$

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. $-\frac{11}{12} \div 22 = \square$ (type an integer or a simplified fraction.)

b. the answer is undefined.

Explanation:

Step1: Recall division of fractions

Dividing by a number is the same as multiplying by its reciprocal. So, \(-\frac{11}{12} \div 22 = -\frac{11}{12} \times \frac{1}{22}\)

Step2: Simplify the fraction

We can cancel out the common factor of 11 in the numerator and the denominator. \(11\) and \(22\) have a common factor of \(11\), so \(22\div11 = 2\) and \(11\div11 = 1\). Then we have \(-\frac{1}{12} \times \frac{1}{2}=-\frac{1}{24}\)

Answer:

\(-\frac{1}{24}\) (and the correct choice is A)