Question

simplify (-9/63*-35/26)-(-3 4/17*-85/33)+-11/18*12/-33*3/4)​

Answer 1

Answer:

$( \frac{ - 9}{63} \times \frac{ - 35}{26} ) - ( \frac{ - 34}{17} \times \frac{ - 85}{33} ) + ( \frac{ - 11}{18} \times \frac{12}{ - 33} \times \frac{3}{4} ) \\ = ( \frac{ _{ - 1 \: \: } \cancel{ - 9}}{ _{ _{1 \: \: } \cancel 7 \: \: } \cancel{ 63}} \times \frac{ \cancel{ - 35} _{ \: \: - 5}}{26} ) - ( \frac{_{ - 2 \: \: } \cancel{ - 34}}{ _{1 \: \: } \cancel{ 17}} \times \frac{ - 85}{33} ) + ( \frac{_{ - 1 \: \: } \cancel{ - 11}}{ _{ _{2 \: \: } \cancel 6 \: \: } \cancel{ 18}} \times \frac{ _{ _{1 \: \: } \cancel 3 \: \: } \cancel{ 12}}{ _{ - 3 \: \: } \cancel{ - 33}} \times \frac{ \cancel 3 _{ \: \: 1} }{ \cancel 4 _{ \: \: 1}} ) \\ = ( - 1 \times \frac{ - 5}{26} ) - ( - 2 \times \frac{ - 85}{33} ) + ( \frac{ - 1}{2} \times \frac{1}{ - 3} ) \\ = \frac{5}{26} - \frac{170}{33} +( \frac{ - 1 \times ( - 1)}{ - 6 \times ( - 1)} ) \\ = \frac{5}{26} - \frac{170}{33} + \frac{1}{6} \\ = \frac{165 - 4420 + 143}{858} \\ = \frac{ \cancel{ - 4112}_{ \: \: - 2056} }{ \cancel{ 858} _{ \: \: 429}} \\ \boxed{ = \underline{ \underline{ \large \frac{ - 2056}{429} }}}$