Answer:
[tex]\frac {3}{10}[/tex]
Step-by-step explanation:
Working backwards, the addition changes subtraction and division changes to multiplication and vice versa
The numbers are[tex]1\frac{1}{2}, 2\frac{1}{2}, 1\frac{2}{3}[/tex] and [tex]2\frac{5}{6}[/tex]
The result is [tex]2\frac{5}{6}[/tex]
Adding [tex]1\frac{2}{3}[/tex] to [tex]2\frac{5}{6}[/tex] we obtain
[tex]1\frac{2}{3}[/tex]+ [tex]2\frac{5}{6}[/tex]=[tex]4\frac {1}{2}[/tex]
Dividing [tex]4\frac {1}{2}[/tex] by [tex]1\frac {2}{3}[/tex] we obtain [tex]2\frac {7}{10}[/tex]
Subtracting [tex]2\frac {2}{3}[/tex] from [tex]2\frac {7}{10}[/tex] we obtain [tex]\frac {1}{5}[/tex]
Multiplying [tex]\frac {1}{5}[/tex] by [tex]1\frac {1}{2}[/tex] we obtain [tex]\frac {3}{10}[/tex]
Therefore, the number is [tex]\frac {3}{10}[/tex]
