Answer
The required fractional change in pressure is $0.021$
Work Step by Step
We can find an expression for the original pressure:
$P_1V = nRT_1$
$P_1 = \frac{nRT_1}{V}$
We can find an expression for the new pressure:
$P_2V = nRT_2$
$P_2 = \frac{nRT_2}{V}$
We can divide $P_2$ by $P_1$:
$\frac{P_2}{P_1} = \frac{\frac{nRT_2}{V}}{\frac{nRT_2}{V}}$
$\frac{P_2}{P_1} = \frac{T_2}{T_1}$
$\frac{P_2}{P_1} = \frac{297~K}{291~K}$
$\frac{P_2}{P_1} = 1.021$
The required fractional change in pressure is $0.021$
