Final answer:
The equivalent multiplication equation for 9 divided by 1/6 is 9 × 6, which equals 54. This is determined by understanding that dividing by a fraction is equivalent to multiplying by its reciprocal.
Step-by-step explanation:
The equivalent multiplication equation for 9 : 1/6 can be found by understanding that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by flipping its numerator and denominator. Therefore, when we flip 1/6, we get its reciprocal, which is 6/1. This means that the operation of dividing by 1/6 is equivalent to multiplying by 6.
To find the equivalent multiplication, we can set up the following equation:
9 × (6/1) = 54
So, the equivalent multiplication equation for 9 divided by 1/6 is 9 × 6, which equals 54.