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

Respuesta :

40Gz
yes because he can multiply the fraction and it will equal the same thing

Answer:

Yes possible

Step-by-step 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

[tex]\frac{5}{6} =\frac{1+4}{6} =\frac{1}{6} +\frac{2}{3}[/tex]

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

[tex]\frac{2}{3} =\frac{6}{9} =\frac{2}{9}+\frac{4}{9}\\=\frac{2}{9}+\frac{8}{18}[/tex]

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.