Question

Change 5 5/16 into a decimal and show work

Answer 1

to convert a fraction to a decimal, like say a/b is really simply the quotient of a ÷ b.

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

$\bf \stackrel{mixed}{5\frac{5}{16}}\implies \cfrac{5\cdot 16+5}{16}\implies \stackrel{improper}{\cfrac{85}{16}}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ \cfrac{85}{16}\implies 85\div 16\implies 5.3125$