Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
The number you thought of and original number = x
The number you thought of and added [tex]4\frac{5}{7}[/tex] and got the number equal to the original on times 12
[tex]x +4\frac{5}{7} = 12x[/tex]
Convert [tex]4\frac{5}{7}[/tex] to an improper fraction so it will be easier to work with.
[tex]x +\frac{33}{7} = 12x[/tex]
[tex]\frac{33}{7} = 12x - x[/tex]
[tex]\frac{33}{7} = 11x [/tex]
[tex]\frac{\frac{33}{7}}{11} = \frac{11x}{11} [/tex]
[tex]\frac{33}{7} * \frac{1}{11} = x [/tex]
[tex]\frac{3}{7} = x [/tex]
[tex]x = \frac{3}{7}[/tex]
