Let's tackle this math problem: 2 divided by 1/9. It might look a little tricky at first glance, but it's actually quite straightforward once you understand the principle behind dividing by a fraction.
When we divide by a fraction, we're essentially asking how many of that fraction fit into the whole number. So, 2 divided by 1/9 means we want to know how many 'one-ninths' are contained within the number 2.
The key to solving this is to remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is simply that fraction flipped upside down. So, the reciprocal of 1/9 is 9/1, which is just 9.
Therefore, the problem '2 divided by 1/9' becomes '2 multiplied by 9'.
And 2 multiplied by 9 equals 18.
So, 2 divided by 1/9 is 18. It's like asking, if you have two whole pizzas, and you cut each pizza into nine slices, how many slices do you have in total? You'd have 2 pizzas * 9 slices/pizza = 18 slices. Each slice is 1/9 of a pizza, and you have 18 of them within your two whole pizzas.
