Question

I thought of a number, added 4 5/7 to it, and got the number equal to the original one times 12. What was the original number?

Answer 1

Answer:

$\frac{3}{7}$

Step-by-step explanation:

The number you thought of and original number = x

The number you thought of and added $4\frac{5}{7}$ and got the number equal to the original on times 12

$x +4\frac{5}{7} = 12x$

Convert $4\frac{5}{7}$ to an improper fraction so it will be easier to work with.

$x +\frac{33}{7} = 12x$

$\frac{33}{7} = 12x - x$

$\frac{33}{7} = 11x$

$\frac{\frac{33}{7}}{11} = \frac{11x}{11}$

$\frac{33}{7} * \frac{1}{11} = x$

$\frac{3}{7} = x$

$x = \frac{3}{7}$