Question

Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r 1 1 1 1 x . Rewrite this formula as a simple fraction.

Answer 1

Answer:

$\frac{x+1}{2x+1}r%$

Explanation:

Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r 1 1 1 1 x . Rewrite this formula as a simple fraction

The formula can be rewritten as thus $\frac{r}{1+\frac{1}{1+\frac{1}{x} } } \\\\\ 1+\frac{1}{x} \\\frac{x+1}{x} we have \\\frac{1}{x+1/(x)} \\\frac{x}{x+1} \\1+\frac{x}{x+1} \\\frac{2x+1}{x+1}$

r%*x+1/(2x+1)

$\frac{x+1}{2x+1}r%$

What have simply done is to find the LCM of the lowest fraction at the bottom of the relation , then solve upward

compress into proper fraction. I then normalized by brionging the numerator downward and the denominator upward