Final answer:
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Simplify the result if possible.
Step-by-step explanation:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have (3/16) ÷ (7/6). The reciprocal of 7/6 is 6/7. So, we can rewrite the expression as (3/16) * (6/7). Multiplying the numerators (3 * 6) gives us 18, and multiplying the denominators (16 * 7) gives us 112. Therefore, the result is 18/112. To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2. Dividing both 18 and 112 by 2 gives us 9/56. So, the result of 3/16 divided by 7/6 in fraction form is 9/56.