Given:
Nadia spent 1/4 of her money in skirts and 2/5 of her money on shoes
So, total =
[tex]\frac{1}{4}+\frac{2}{5}=?[/tex]The Least common denominator of 4 and 5 = 20
So,
[tex]\begin{gathered} \frac{1}{4}=\frac{5}{20} \\ \frac{2}{5}=\frac{8}{20} \\ \\ \frac{1}{4}+\frac{2}{5}=\frac{5}{20}+\frac{8}{20}=\frac{13}{20} \end{gathered}[/tex]So, she spent 13/20 of her money
The change will be =
[tex]1-\frac{13}{20}=\frac{20}{20}-\frac{13}{20}=\frac{7}{20}[/tex]So, she got 7/20 of her money.