\(\displaystyle \small \frac{5}{6}\div7\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{5}{6}\times\frac{1}{7}=\frac{5}{42}\)

\(\displaystyle \small \frac{3}{8}\div5\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{3}{8}\times\frac{1}{5}=\frac{3}{40}\)

\(\displaystyle \small \frac{4}{5}\div3\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{4}{5}\times\frac{1}{3}=\frac{4}{15}\)

\(\displaystyle \small \small \frac{1}{6}\div7\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{1}{6}\times\frac{1}{7}=\frac{1}{42}\)

\(\displaystyle \small \frac{3}{7}\div4\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{3}{7}\times\frac{1}{4}=\frac{3}{28}\)

\(\displaystyle \small \frac{4}{9}\div5\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{4}{9}\times\frac{1}{5}=\frac{4}{45}\)

\(\displaystyle \small \frac{3}{4}\div\frac{2}{3}\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{3}{4}\times\frac{3}{2}=\frac{9}{8}\)

\(\displaystyle \frac{9}{8}=1\frac{1}{8}\) because \(\displaystyle 8\) can go into \(\displaystyle 9\) one time with \(\displaystyle 1\) left over. 

\(\displaystyle \small \frac{5}{8}\div\frac{1}{2}\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{5}{8}\times\frac{2}{1}=\frac{10}{8}\)

\(\displaystyle \frac{10}{8}=1\frac{2}{8}=1\frac{1}{4}\) because \(\displaystyle 8\) can go into \(\displaystyle 10\) one time with \(\displaystyle 2\) left over. 

\(\displaystyle \frac{2}{8}\div\frac{2}{2}=\frac{1}{4}\)

\(\displaystyle \small \frac{3}{12}\div\frac{1}{3}\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \small \frac{3}{12}\times\frac{3}{1}=\frac{9}{12}\)

\(\displaystyle \frac{9}{12}\) can be reduced because both \(\displaystyle 9\) and \(\displaystyle 12\) are divisible by \(\displaystyle 3\)

\(\displaystyle \frac{9}{12}\div\frac{3}{3}=\frac{3}{4}\)

\(\displaystyle \small \frac{7}{8}\div\frac{1}{4}\)

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

\(\displaystyle \small \frac{7}{8}\times\frac{4}{1}=\frac{28}{8}\)

\(\displaystyle \frac{28}{8}=3\frac{4}{8}=3\frac{1}{2}\) because \(\displaystyle 8\) can go into \(\displaystyle 28\) three times, with \(\displaystyle 4\) left over. 

\(\displaystyle \frac{4}{8}\) can be reduced because both \(\displaystyle 4\) and \(\displaystyle 8\) are divisible by \(\displaystyle 4\). 

\(\displaystyle \frac{4}{8}\div\frac{4}{4}=\frac{1}{2}\)