The product of two fractions is frac{14}{15} | vedclass

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(B) Let the two fractions be $x$ and $y$,where $x > y$.Given:$x y = \frac{14}{15}$ ............$(1)$$\frac{x}{y} = \frac{35}{24}$ ............$(2)$To

Vedclass · Accepted Answer

$\frac{7}{6}$

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(B) Let the two fractions be $x$ and $y$,where $x > y$.Given:$x y = \frac{14}{15}$ ............$(1)$$\frac{x}{y} = \frac{35}{24}$ ............$(2)$To find $x$ and $y$,multiply $(1)$ and $(2)$:$(x y) 	imes (\frac{x}{y}) = \frac{14}{15} 	imes \frac{35}{24}$$x^2 = \frac{14 	imes 35}{15 	imes 24} = \frac{2 	imes 7 	imes 5 	imes 7}{3 	imes 5 	imes 3 	imes 8} = \frac{49}{36}$$x = \sqrt{\frac{49}{36}} = \frac{7}{6}$Now,substitute $x = \frac{7}{6}$ into $(1)$:$(\frac{7}{6}) y = \frac{14}{15}$$y = \frac{14}{15} 	imes \frac{6}{7} = \frac{2 	imes 2}{5} = \frac{4}{5}$Comparing $x = \frac{7}{6} \approx 1.166$ and $y = \frac{4}{5} = 0.8$,the greater fraction is $\frac{7}{6}$.

The product of two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$. The greater fraction is

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