Mark said he can decompose the fraction 5/6 into three fractions with three different numerators. Is this possible? Explain
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
\(\frac{5}{6} =\frac{1+4}{6} =\frac{1}{6} +\frac{2}{3}\)
Let us break 2/3 into sum of two other fractions
\(\frac{2}{3} =\frac{6}{9} =\frac{2}{9}+\frac{4}{9}\\=\frac{2}{9}+\frac{8}{18}\)
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.