Solve - 3/5 divided by 9/10. Put your answer in simplest form.

2/3

Step-by-step explanation:

Heres how I got 2/3

So first what we need to do is we need to figure out what 3/5 divided by 9/10 is.

So what we are going to do is we are going to do a method that my teachers toaught to me called Pemdas.

So we are going to line up 3/5 and 9/10 right next to eachother.

Then we are going to miltiply the top number of the first fraction by the bottom number of the first fraction and that will be our numerator or in other words first number in our next fraction. So that would end up being 30 because 3x10=30. So our next fraction would start with 30 so it would be 30/x because we dont have a denominator yet or in other words bottom number for our fraction.

So now what we need to do is multiply the bottom number of our first fraction by the top number of our second fraction and that will be 45 because 5 times 9 is 45. So our ansewer WOULD be 30/45 but they asked for it in the simplest form so we need to do that.

So what we need to do is start dividing the fraction 30/45 to make it the smalest fraction we can but keep in mind if you cant make this into another fraction than 30/45 is your ansewer because it is you simplest form. So what we are going to do is take 30/45 and start seeing if we can divide both of these numbers by a smaller number. So I know that 30 can be divided by 5 and so can 45 so after I divide 30 and 45 by 5 it would give me 6/9 as a fraction but wait you can divide 6/9 by 3 and if we divide 6 by 3 it would give us 2 and if we divide 9 by 3 it would give us 3 so our ansewer would end up being 2/3 and 2/3 cant be divided by anything so that IS YOUR ANSEWER 2/3. Have a wonderful day everyone!