Question

Write 3 1/8% as fraction in simplest form

Answer 1

so change a value to a percentage format, we simply divide it by 100.

for example, 2% can be rewritten as 2/100 or 0.02 in decimal format.

now, let's first convert the mixed fraction to improper, and then do the percentage format and simplification.

$\bf \stackrel{mixed}{3\frac{1}{8}}\implies \cfrac{3\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{25}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~\frac{25}{8}~~}{100}\implies \cfrac{~~\frac{25}{8}~~}{\frac{100}{1}}\implies \cfrac{25}{8}\cdot \cfrac{1}{100}\implies \cfrac{1}{8}\cdot \cfrac{25}{100}\implies \cfrac{1}{8}\cdot \cfrac{1}{4}\implies \cfrac{1}{32}$