Decimals and Fractions Practice Test 2

. Let the numerator of the fraction = x
Increased percentage = 20%
New numerator $=\mathit{x}+\frac{20\mathit{x}}{100}=\frac{6\mathit{x}}{5}$
Let the denominator of the fraction = y
decreased percentage = 20%
New denominator $=\mathit{y}-\frac{20\mathit{y}}{100}=\frac{4\mathit{y}}{5}$
Value of the fraction $=\frac{4}{5}$
$\frac{\frac{6\mathit{x}}{5}}{\frac{4\mathit{y}}{5}}=\frac{4}{5}$
$\frac{6\mathit{x}}{5}\times \frac{5}{4\mathit{y}}=\frac{4}{5}\Rightarrow 30\mathit{x}=16\mathit{y}$
$\Rightarrow \frac{\mathit{x}}{\mathit{y}}=\frac{16}{30}=\frac{8}{15}$
Original fraction $=\frac{8}{15}$