Answer:
Both are correct
Step-by-step explanation:
Given fraction is [tex]1\frac{1}{6}[/tex]
Let us rewrite this mixed fraction as improper fraction.
[tex]1\frac{1}{6} =\frac{6+1}{6}[/tex]
[tex]=\frac{7}{6}[/tex] --- (1)
Roger's decomposition is:
[tex]\frac{1}{6} +\frac{1}{6} +\frac{2}{6} +\frac{3}{6}[/tex]
[tex]=\frac{1+1+2+3}{6}[/tex]
[tex]=\frac{7}{6}[/tex] --- (2)
Sulee's decomposition is:
[tex]\frac{3}{6} +\frac{4}{6}[/tex]
[tex]=\frac{3+4}{6}[/tex]
[tex]=\frac{7}{6}[/tex] --- (3)
From (1), (2) and (3),
Both Roger and Sulee are correct.
