# Are the following equivalent eational numbers?if yes,find their standard forms.(A) -84/100 and 21/25. (B) 72/180 and 26/65.

$\mathrm{We}\mathrm{have},\phantom{\rule{0ex}{0ex}}1)\left(\frac{-84}{100}\right)\phantom{\rule{0ex}{0ex}}=\frac{-42}{50}\phantom{\rule{0ex}{0ex}}=\frac{-21}{25}\mathrm{is}\mathrm{in}\mathrm{the}\mathrm{standard}\mathrm{form}\phantom{\rule{0ex}{0ex}}\mathrm{and}\frac{21}{25}\ne \frac{-21}{25}\phantom{\rule{0ex}{0ex}}2)\frac{72}{180}=\frac{36}{90}=\frac{18}{45}=\frac{6}{15}=\frac{2}{5}\mathrm{is}\mathrm{in}\mathrm{the}\mathrm{standard}\mathrm{form}\phantom{\rule{0ex}{0ex}}\mathrm{and}\frac{26}{65}=\frac{2}{5}\mathrm{is}\mathrm{in}\mathrm{the}\mathrm{standard}\mathrm{form}\phantom{\rule{0ex}{0ex}}\mathrm{So},\frac{72}{180}=\frac{26}{65}$

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