Question

(\frac{\frac{16}{3}}{-16} =)

Explanation:

Step1: Simplify the complex fraction

To simplify \(\frac{\frac{16}{3}}{-16}\), we can rewrite it as \(\frac{16}{3}\div(-16)\).

Step2: Divide by multiplying by reciprocal

Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of \(-16\) is \(\frac{1}{-16}\), so we have \(\frac{16}{3}\times\frac{1}{-16}\).

Step3: Cancel common factors

The \(16\) in the numerator and the \(-16\) in the denominator can be canceled out. \(16\div16 = 1\) and \(-16\div16=-1\), so we are left with \(\frac{1}{3}\times\frac{1}{-1}\).

Step4: Multiply the fractions

Multiplying \(\frac{1}{3}\) and \(\frac{1}{-1}\) gives \(\frac{1\times1}{3\times(-1)}=\frac{1}{-3}=-\frac{1}{3}\).

Answer:

\(-\frac{1}{3}\)