Question

(-1/2)-(-3/5)+9-(1/9)+1/71-(-2/7)+4/35-7/18

Answer 1

\(\left(-\dfrac{1}{2}\right)-\left(-\dfrac{3}{5}\right)+9-\dfrac{1}{9}+\dfrac{1}{71}-\left(-\dfrac{2}{7}\right)+\dfrac{4}{35}-\dfrac{7}{18}\)

\(=\left(-\dfrac{22635}{44730}\right)-\left(-\dfrac{26838}{44730}\right)+\dfrac{402570}{44730}-\dfrac{4970}{44730}+\dfrac{630}{44730}-\left(-\dfrac{12780}{44730}\right)+\dfrac{5112}{44730}-\dfrac{35784}{44730}\)

\(=\left(-\dfrac{22635}{44730}\right)+\dfrac{26838}{44730}+\dfrac{402570}{44730}-\dfrac{4970}{44730}+\dfrac{630}{44730}+\dfrac{12780}{44730}+\dfrac{5112}{44730}-\dfrac{35784}{44730}\)

\(=\dfrac{-22635+26838+402570-4970+630+12780+5512-35784}{44730}\)

\(=\dfrac{384941}{44730}\)