Maths / Fractions and Decimals / Division of Fractions

QUESTION
 

If large x=frac{2}{3}+frac{3}{4};and; y= frac{3}{4}+frac{5}{6},  then the value of large frac{1}{x}divfrac{1}{y} is

OPTIONS
A. 

frac{11}{38}

B. 

frac{17}{38}

C. 

frac{22}{17}

D. 

frac{19}{17}

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

Given             x=frac{2}{3}+frac{3}{4},y=frac{3}{4}+frac{5}{6}

A=frac{1}{frac{2}{3}+frac{3}{4}}=frac{1}{frac{8+9}{12}}=frac{12}{17}

B=frac{1}{frac{3}{4}+frac{5}{6}}=frac{1}{frac{18+20}{24}}=frac{24}{38}

So, A div B

=frac{12}{17}divfrac{24}{38}=frac{12}{17}times frac{38}{24}=frac{19}{17}

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