Question

What are 2 fractions with two different denominators that have a difference of 1/5?

Answer 1

`\displaystyle (4)/(10),\;\text{and}\;(3)/(5)`

Explanation:

First, we need to find two fractions that have a difference of one-fifth. In other words, they are equal to one-fifth when subtracted. To do this, we can add one-fifth to any fraction.

`\displaystyle (2)/(5) +(1)/(5) =(3)/(5)`

Now we have two fractions, two-fifths and three-fifths. These are just the numbers I have picked here for this example, but there are infinite answers. The next thing we will do is change the denominator of one of the fractions without changing the value. To do this, we will multiply the numerator and the denominator by the same number.

`\displaystyle (2*2)/(5*2) =(4)/(10)`

This gives us our final answer, three-fifths and four-tenths are two fractions with different denominators that have a difference of one-fifth.

`\displaystyle (4)/(10),\;\text{and}\;(3)/(5)`