name a fraction between 3/4 and 2/5 that has a denominator of 20?

Question

Denominator of 20

Answer 1

3/4 = 15/20

2/5 = 8/20      [note: this is smaller than 15/20]

 

Pick a value of x for which  8<x<20 and

    x/20 will be between 8/20 (that is, 2/5) and 15/20 (that is, 3/4).

 

How about 13/20?   [note:  12/20 = 6/10 is also in this range,

   but the problem specified "denominator of 20," so leave it as 12/20]

Answer 2

Fractions are just a way to represent the quantity of one thing relative to quantity of another thing. For example, imagine a pizza with 8 slices. If I eat 4 of them, I have eaten 4/8 of the pizza. 4 divided by 8 is the same as 1 divided by 2, so I can say I ate 1/2 of the pizza. You need to do that same kind of conversion for these numbers.

 

More specifically, just as we saw what 4/8 was in terms of 2, you need to see what 3/4 and 2/5 are in terms of 20.

 

How can we make the denominator 20? By multiplication!

 

3/4 multiplied by 5/5 is equal to 15/20. (We can multiply by 5/5 without changing the original fraction because 5/5 is equal to 1)

 

2/5 multiplied by 4/4 is equal to 8/20.

 

Pick any number between 8 and 15, and use it as the numerator. (9/20, 10/20, 11/20, etc)

 

Does this make sense? Please let me know if I can help you more!