18. Which part of must be added to ...
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18. Which part of must be added to it so the result will be

11th - 12th Class
Maths
Solution
75
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18. (1) Let required part be ( frac{1}{-} ). Then, according to the question, ( begin{aligned} frac{1}{x} text { of } frac{4}{7}+frac{4}{7} &=1 frac{1}{14} Rightarrow frac{4}{7 x}=frac{15}{14}-frac{4}{7} &=frac{15}{14}-frac{4}{7} times frac{2}{2}=frac{15}{14}-frac{8}{14} Rightarrow quad frac{4}{7 x} &=frac{15-8}{14}=frac{7}{14} Rightarrow quad frac{1}{x}=frac{7}{14} times frac{7}{4}=frac{7}{8} end{aligned} ) Thus, the required part is ( frac{7}{8} )
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