n the operation and reduce the answer fully. Make lified fraction. (1)/(4)div (9)/(7)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.<br /><br />In this case, we have:<br />$\frac {1}{4}\div \frac {9}{7}$<br /><br />To find the reciprocal of $\frac {9}{7}$, we swap the numerator and denominator:<br />$\frac {9}{7} \rightarrow \frac {7}{9}$<br /><br />Now, we can rewrite the division as multiplication:<br />$\frac {1}{4}\div \frac {9}{7} = \frac {1}{4} \times \frac {7}{9}$<br /><br />To multiply fractions, we multiply the numerators together and the denominators together:<br />$\frac {1}{4} \times \frac {7}{9} = \frac {1 \times 7}{4 \times 9} = \frac {7}{36}$<br /><br />Therefore, the simplified fraction is $\frac {7}{36}$.