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

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

• A. 4 1/2
• B. 5 1/3
• C. 7
• D. 3

Answer: (A)

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.

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.