Mathematics
Brent
2015-11-20 19:35:42
Can someone help me asap please?!?!?!? Compute 3/4*8/9*15/16*24/25*35/36*48/49*63/64*80/81*99/100
ANSWERS
enock
2015-11-20 23:38:59

assuming you mean something like [latex](frac{3}{4})(frac{8}{9})(frac{15}{16})(frac{24}{25})(frac{35}{36})(frac{48}{49})(frac{63}{64})(frac{80}{81})(frac{99}{100})[/latex] so remember [latex](frac{a}{b})(frac{c}{d})=frac{ac}{bd}[/latex] so [latex](frac{3}{4})(frac{8}{9})(frac{15}{16})(frac{24}{25})(frac{35}{36})(frac{48}{49})(frac{63}{64})(frac{80}{81})(frac{99}{100})=[/latex] [latex]frac{(3)(8)(15)(24)(35)(48)(63)(80)(99)}{(4)(9)(16)(25)(36)(49)(64)(81)(100)}[/latex] factor out some things [latex]frac{(3)(2^3)(3)(5)(2^3)(3)(5)(7)(2^4)(3)(3^2)(7)(2^4)(5)(3^2)(11)}{(2^2)(3^2)(2^4)(5^2)(2^2)(3^2)(7^2)(2^6)(3^4)(2^2)(5^2)}=[/latex] [latex]frac{(2^{14})(3^8)(5^3)(7^2)(11)}{(2^{16})(3^8)(5^4)(7^2)}=[/latex] [latex]frac{11}{(2^2)(5^1)}=frac{11}{20}[/latex]

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