Question

divide.
\\(\frac{1}{2} \div 1 \frac{1}{2} = \\)
submit

Explanation:

Step1: Convert mixed number to improper fraction

The mixed number \(1\frac{1}{2}\) can be converted to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (2) and add the numerator (1). So, \(1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}\).

Step2: Divide the fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{1}{2}\div\frac{3}{2}=\frac{1}{2}\times\frac{2}{3}\).

Step3: Multiply the numerators and denominators

Multiply the numerators: \(1\times2 = 2\). Multiply the denominators: \(2\times3 = 6\). So, \(\frac{1\times2}{2\times3}=\frac{2}{6}\).

Step4: Simplify the fraction

Simplify \(\frac{2}{6}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, \(\frac{2\div2}{6\div2}=\frac{1}{3}\).

Answer:

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