Question

simplify.
\frac{3}{
\frac{6}{7}
}

Explanation:

Step1: Recall dividing by a fraction rule

Dividing by a fraction is multiplying by its reciprocal. So, \(\frac{3}{\frac{6}{7}} = 3\times\frac{7}{6}\)

Step2: Simplify the multiplication

Simplify \(3\times\frac{7}{6}\). The 3 and 6 can be simplified: \(3\) is \(\frac{3}{1}\), so \(\frac{3}{1}\times\frac{7}{6}=\frac{3\times7}{1\times6}=\frac{21}{6}\), then simplify \(\frac{21}{6}\) by dividing numerator and denominator by 3: \(\frac{21\div3}{6\div3}=\frac{7}{2}\)

Answer:

\(\frac{7}{2}\)