Question

Express each quotient in the simplest form.
3/i divided by 9/j

Answer 1

To simplify the quotient 3/i divided by 9/j, you multiply 3/i by the reciprocal of 9/j, resulting in the simplest form j/3i.

Step-by-step explanation:

To express the quotient 3/i divided by 9/j in the simplest form, we follow the rule for dividing complex fractions, that is, multiply the first fraction by the reciprocal of the second. Here's the step-by-step process:

1. Write the problem as 3/i × j/9.
2. Divide the digit terms and multiply the exponential terms: (3 × j)/(i × 9).
3. Simplify the expression to get the final answer: j/3i.

This process involves division of the numerical coefficients and the use of negative exponents to represent division, a concept also applicable to division of exponentials.