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Evaluate \(\frac{1\frac17-\frac23+\frac{\frac25}{1-\frac{1}{25}}}{1 -\frac17\bigg(\frac13+\frac{\frac25}{1-\frac25}\bigg)}\)

(a) \(\frac34\)

(b) \(\frac{24}{25}\)

(c) 1 

(d) 1\(\frac1{24}\)

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(d)  1\(\frac1{24}\)

\(\frac{1\frac17-\frac23+\frac{\frac25}{1-\frac{1}{25}}}{1 -\frac17\bigg(\frac13+\frac{\frac25}{1-\frac25}\bigg)}\) = \(\frac{\frac87-\frac23+\frac{\frac25}{\frac{24}{25}}}{1 -\frac17\bigg(\frac13+\frac{\frac25}{\frac35}\bigg)}\)

\(\frac{\frac87-\frac23+\frac25\times\frac{25}{24}}{1-\frac17\big(\frac13+\frac23\big)}\) 

\(\frac{\frac87-\frac23+\frac{5}{12}}{1-\frac17}\) = \(\frac{\frac{96-56+35}{84}}{\frac67}\)

\(\frac{75}{84}\times\frac76=\frac{25}{24}=\) 1\(\frac1{24}\)

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