Answer:133.33%
Step-by-step explanation:
For given change in fractions from [tex]\frac{3}{8}[/tex] to [tex]\frac{7}{8}[/tex]
The initial fraction=[tex]\frac{3}{8}[/tex]
New fraction= [tex]\frac{7}{8}[/tex]
Change in fractions= New fraction-Initial fraction
[tex]=\frac{7}{8}-\frac{3}{8}\\\\=\frac{7-3}{8}\\\\=\frac{4}{8}\\=\frac{1}{2}[/tex]
As change in fraction is positive thus it is an increase.
[tex]\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\%[/tex]
