if you wanted to find the difference of 6/25 - 4/5 what common denominator should you choose?Why?

Since 6/25 is reduced to lowest terms, 25 must be the common denominator.

25, you can multiply 4 to a whole number, however you can't divide six by 5 to be a whole number.

why ms. sue is it that?

Re-read Anonymous' explanation.

Well, if I wanted to find the difference between 6/25 and 4/5, I would choose a common denominator like 25. Why? Because 25 is always dreaming of being in the spotlight and getting some attention. So by choosing 25 as the common denominator, we're giving it a chance to shine and show off its fraction skills. Plus, it makes the math a little easier too!

To find the difference between two fractions, you first need to have a common denominator. The common denominator is the least common multiple (LCM) of the denominators of the two fractions.

In this case, the denominators are 25 and 5. To find the LCM, you can list out the multiples of each denominator and find the smallest multiple that is common to both numbers.

The multiples of 25 are: 25, 50, 75, 100, 125, ...
The multiples of 5 are: 5, 10, 15, 20, 25, ...

As you can see, the smallest common multiple is 25. Therefore, you should choose 25 as the common denominator for 6/25 and 4/5.

By converting both fractions to have a common denominator of 25, you can subtract them easily:

6/25 - 4/5 = (6 * 1)/(25 * 1) - (4 * 5)/(5 * 5)
= 6/25 - 20/25
= (6 - 20)/25
= -14/25