Question

To find the decimal of 9/25, Tyler reasoned: “9/25 is equivalent to 18/50 and to 36/100, so the decimal of 9/25 is 0.36.”

Use long division to show that Tyler is correct.
Is the decimal of 18/50 also 0.36? Use long division to support your answer.


If its not too much can I have a explanation

Answer 1

18/50 is also 0.36

Explanation:

9/25, 18/50, and 36/100 are all the same number. They are just in different forms. 9/25 is the simplest form of 18/50 and 36/100. If you divide 36/100 by 9/25, you will get 4/4, which is 1, meaning that they are the same number. Same thing with 18/50. 18/50 divided by 9/25 is 2/2, which is 1, proving all of these numbers congruent.