Question

\frac{ 8 }{ 7 } \times \frac{ 3 }{ 4 } + \frac{ 3 }{ 11 } \times \frac{ 11 }{ 4 } \times \frac{ 6 }{ 11 } \times \frac{ 7 }{ 5 } \times \frac{ 3 }{ 5 } - \frac{ 7 }{ 2 } \times \frac{ 3 }{ 7 }​

Answer 1

Question:

$\rm\frac{ 8 }{ 7 } \times \frac{ 3 }{ 4 } + \frac{ 3 }{ 11 } \times \frac{ 11 }{ 4 } \times \frac{ 6 }{ 11 } \times \frac{ 7 }{ 5 } \times \frac{ 3 }{ 5 } - \frac{ 7 }{ 2 } \times \frac{ 3 }{ 7 }$

Answer:

$\rm = ( \frac{8}{7} \times \frac{3}{4}) + (\frac{3}{11} \times \frac{11}{4} \times \frac{6}{11} \times \frac{7}{5} \times \frac{3}{5} ) - ( \frac{7}{2} \times \frac{3}{7} )$

=$\rm( \frac{8}{7} \times \frac{3}{4} ) + ( \frac{3}{2} \times \frac{3}{11} \times \frac{7}{5} \times \frac{2}{5} ) - ( \frac{3}{2} )$

=$\rm (\frac{6}{7} ) + ( \frac{9}{11} \times \frac{7}{25} ) - ( \frac{3}{2} )$

=$\rm \frac{6}{7} + \frac{63}{275} - \frac{3}{2}$

By finding LCM of 7, 275 And 2 = 3850

$\rm \frac{3300 + 882 - 5940}{3850}$

=$\frac{ - 2640}{ \: \: \: 3850}$