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Veseljchak [2.6K]
4 years ago
15

Change 5 5/16 into a decimal and show work

Mathematics
1 answer:
Alex Ar [27]4 years ago
3 0

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

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R(x)=   \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}

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