Question

Simplify(16/17of34/5)-21/5-{15/14÷(1/2-(-1/7))}

Answer 1

Simplify:

Step-by-step explanation:

$\ Given \ that:\\\\\rightarrow (\frac{16}{17}\times\frac{34}{5})-(\frac{21}{5}-{\frac{15}{14})\div(\frac{1}{2}-(-\frac{1}{7})}\\\\\rightarrow (\frac{16}{17}\times\frac{34}{5})-(\frac{21}{5}-{\frac{15}{14})\div(\frac{2}{1}+\frac{1}{7})}$

$\rightarrow (\frac{16}{17}\times\frac{34}{5})-(\frac{21}{5}-{\frac{15}{14})\div(\frac{14+1}{7})}\\\\\rightarrow (\frac{16}{17}\times\frac{34}{5})-(\frac{21}{5}-{\frac{15}{14})\div(\frac{15}{7})}\\\\\rightarrow (\frac{16}{17}\times\frac{34}{5})-\frac{21}{5}-{\frac{15}{14}\times\frac{7}{15}}\\\\\rightarrow (\frac{16}{17}\times\frac{34}{5})-\frac{21}{5}-{\frac{1}{2}}\\\\\rightarrow (\frac{16}{1}\times\frac{2}{5})-\frac{21}{5}-{\frac{1}{2}}$

$\rightarrow \frac{32}{5}-\frac{21}{5}-{\frac{1}{2}}\\\\\rightarrow \frac{32-21}{5}-{\frac{1}{2}}\\\\\rightarrow \frac{11}{5}-{\frac{1}{2}}\\\\\rightarrow {\frac{22-5}{10}}\\\\\rightarrow {\frac{17}{10}}$

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