What is the result of dividing 9/10 by 1/5?

To find the result of dividing ( \frac{9}{10} ) by ( \frac{1}{5} ), you can multiply ( \frac{9}{10} ) by the reciprocal of ( \frac{1}{5} ), which is ( 5 ).

The calculation follows these steps:

1. Take the reciprocal of ( \frac{1}{5} ), which results in ( 5 ).

2. Perform the multiplication:

[

\frac{9}{10} \times 5 = \frac{9 \times 5}{10} = \frac{45}{10}.

]

3. Simplify ( \frac{45}{10} ):

[

\frac{45}{10} = 4.5 \text{ (which is the same as } 4 \frac{1}{2} \text{ when converted to mixed number)}.

]

Thus, the correct answer, ( 4 \frac{1}{2} ), arises directly from this division operation, indicating the result of the calculation performed correctly.