1/2 divided by 9
Understand the Problem
The question is asking us to perform the mathematical operation of dividing 1/2 by 9. To solve it, we will convert the division of fractions into multiplication by the reciprocal.
Answer
\( \frac{1}{18} \)
Answer for screen readers
The final answer is ( \frac{1}{18} )
Steps to Solve
- Convert the problem into multiplication by the reciprocal
The division of fractions can be converted into multiplication by the reciprocal. ( \frac{1}{2} \div 9 ) is the same as ( \frac{1}{2} \times \frac{1}{9} )
- Multiply the fractions
When multiplying fractions, you multiply the numerators together and the denominators together.
[ \frac{1}{2} \times \frac{1}{9} = \frac{1 \times 1}{2 \times 9} = \frac{1}{18} ]
The final answer is ( \frac{1}{18} )
More Information
Inverting the division operation makes it simpler to view how two fractions interact. As such, dividing by 9 becomes multiplying by 1/9.
Tips
A common mistake is to forget to take the reciprocal of the divisor. Always ensure you convert the division into multiplication correctly.