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  • f a/b=2/3 and b/c=4/5 then find the value of (a+b)/(b+c)

Please, help me to get out of this problematic question... If a/b=2/3 and b/c=4/5, then find the value of (a+b)/(b+c)

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@AMANDEEP

 

If a/b=2/3 and b/c=4/5, then find the value of (a+b)/(b+c)

\\Given,\\\frac{a}{b}=\frac{2}{3}\:\:\:and\:\:\:\frac{b}{c}=\frac{4}{5}\:or\:\frac{c}{b}=\frac{5}{4}\\Now,\\\frac{a+b}{b+c}=?\\Divide\:numerator\:and\:denominator\:by\:"b"\\\frac{\frac{a}{b}+1}{1+\frac{c}{b}}\\put\:the\:value\:of\:\frac{a}{b}=\frac{2}{3}\:and\:\frac{c}{b}=\frac{5}{4}\\\Rightarrow \frac{\frac{2}{3}+1}{1+\frac{5}{4}}=\frac{\frac{2+3}{3}}{\frac{4+5}{4}}=\frac{\frac{5}{3}}{\frac{9}{4}}=\frac{5}{3}\times\frac{4}{9}=\frac{20}{27}

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himanshu.meshram

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