Diving by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
÷
→
×
![(5)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k1ulr704v57tjzp2eybo8uxmo4hd1dog5g.png)
Now, we are multiplying fractions.
×
![(5)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k1ulr704v57tjzp2eybo8uxmo4hd1dog5g.png)
To multiply fractions, we can multiply the numerators together and the denominators together.
3 × 5 = 15
15 × 6 = 90
15 ÷ 15 = 1
90 ÷ 15 = 6
Therefore,
÷
=
![(1)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1hfsyqujpiw8kz1nwo0zeow75fj0n2oyv6.png)