Answer:133.33%
Step-by-step explanation:
For given change in fractions from \(\frac{3}{8}\) to \(\frac{7}{8}\)
The initial fraction=\(\frac{3}{8}\)
New fraction= \(\frac{7}{8}\)
Change in fractions= New fraction-Initial fraction
\(=\frac{7}{8}-\frac{3}{8}\\\\=\frac{7-3}{8}\\\\=\frac{4}{8}\\=\frac{1}{2}\)
As change in fraction is positive thus it is an increase.
\(\text{Percent of increase=}\frac{\text{increase in fraction}}{\text{initial fraction}}\times100\\\\=\frac{\frac{1}{2}}{\frac{3}{8}}\times100\\\\=\frac{1}{2}\times\frac{8}{3}\times100\\\\=\frac{400}{3}=133.33\%\)