Final answer:
To solve the equation 15 ÷ 1/9 and write a story to represent it, we need to divide 15 by the reciprocal of 1/9, which is 9/1. The answer to the equation is 135. The multiplication equation that shows the division is correct is 135 ÷ 9 = 15.
Step-by-step explanation:
To write a story to represent the equation 15 ÷ 1/9 : _______, we need to solve the equation and complete the story. To solve this equation, we need to divide 15 by 1/9. Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the equation as 15 x 9/1. Multiplying 15 by 9 gives us 135. So, the equation 15 ÷ 1/9 is equal to 135.
To write a story to represent this equation, we can say that there are 15 cookies and we want to distribute them equally among a group of friends. Each friend will receive 1/9 of a cookie. Multiplying 1/9 by 15 gives us 135, which represents the total number of cookies that will be distributed.
The multiplication equation that shows that our division is correct is 135 ÷ 9 = 15. This equation represents dividing the 135 cookies equally among 9 friends, resulting in each friend receiving 15 cookies.