Explanation
We must solve this divition and write it in reduce form:
[tex]\frac{7}{18}\div\frac{9}{2}=[/tex]
Remember that dividing by a fraction is equivalent to multiplying its inverse:
[tex]\frac{7}{18}\div\frac{9}{2}=\frac{7}{18}\cdot\frac{2}{9}[/tex]
Now we can multiply both numerators and denominators separately:
[tex]\frac{7}{18}\cdot\frac{2}{9}=\frac{7\cdot2}{18\cdot9}=\frac{14}{162}[/tex]
We can simplify that fraction. We can divide both the numerator and the denominator by 2:
[tex]\frac{14\div2}{162\div2}=\frac{7}{81}[/tex]
7/81 can't be simplified since 7 is a prime number so this is a fraction in reduced form.
Answer
Then the answer is:
[tex]\frac{7}{81}[/tex]
