Question

(7/3-5/21)-(16/21+20/13-1/5)

Answer 1

\(\left(\dfrac{7}{3}-\dfrac{5}{21}\right)-\left(\dfrac{16}{21}+\dfrac{20}{13}-\dfrac{1}{5}\right)\)

\(=\left(\dfrac{49}{21}-\dfrac{5}{21}\right)-\left(\dfrac{1040}{1365}+\dfrac{2100}{1365}-\dfrac{273}{1365}\right)\)

\(=\dfrac{44}{21}-\left(\dfrac{2867}{1365}\right)\)

\(=-\dfrac{1}{195}\)

Answer 2

Answer 3

\(=\dfrac{7}{13}-\dfrac{5}{21}-\dfrac{16}{21}-\dfrac{20}{13}+\dfrac{1}{5}=\left(-\dfrac{5}{21}-\dfrac{16}{21}\right)+\left(\dfrac{7}{13}-\dfrac{20}{13}\right)+\dfrac{1}{5}\)

\(=-1-1+\dfrac{1}{5}=-2+\dfrac{1}{5}=-\dfrac{9}{5}\)