Use long division to determine the decimal equivalent to 5/9

Mathematics

2 answers:

likoan [24]3 years ago

6 0

5/9 is equal to.5555555555

kumpel [21]3 years ago

5 0

I researched and found that it is in fact a repeating decimal and would round to 0.55555556.

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Second year $\frac{5}{4}x$ -------------- $\frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x$

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Fourth year $(\frac{5}{4})^{3}x$ -------------- $(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.$