cylieratlliff
cylieratlliff cylieratlliff
  • 22-08-2018
  • Mathematics
contestada

change 5 5/16 into a decimal and show work

Respuesta :

jdoe0001 jdoe0001
  • 22-08-2018

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.


[tex] \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 [/tex]

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