Question

Mark said he can decompose the fraction 5/6 into three fractions with three different numerators. Is this possible? Explain

Answer 1

yes because he can multiply the fraction and it will equal the same thing

Answer 2

Yes possible

Explanation:

Given is a fraction 5/6

We are to decompose it into 3 fractions with different numerators

First let us convert 5/6 into equivalent fraction as

`(5)/(6) =(1+4)/(6) =(1)/(6) +(2)/(3)`

Let us break 2/3 into sum of two other fractions

`(2)/(3) =(6)/(9) =(2)/(9)+(4)/(9)\\=(2)/(9)+(8)/(18)`

Thus we can write

5/6 = 1/6+2/9+8/18

as a sum of 3 fractions with different denominators.

Hence answer is possible.