Question

B= \(\left(3-\dfrac{1}{4}+\dfrac{2}{3}\right)\) - \(\left(5+\dfrac{1}{3}-\dfrac{6}{5}\right)\) - \(\left(6-\dfrac{7}{4}+\dfrac{3}{2}\right)\)

Answer 1

\(B=\left(3-\dfrac{1}{4}+\dfrac{2}{3}\right)-\left(5+\dfrac{1}{3}-\dfrac{6}{5}\right)-\left(6-\dfrac{7}{4}+\dfrac{3}{2}\right)\\ B=3-\dfrac{1}{4}+\dfrac{2}{3}-5-\dfrac{1}{3}+\dfrac{6}{5}-6+\dfrac{7}{4}-\dfrac{3}{2}\\ B=\left(3-5-6\right)+\left(\dfrac{2}{3}-\dfrac{1}{3}\right)-\left(\dfrac{1}{4}-\dfrac{7}{4}+\dfrac{3}{2}\right)+\dfrac{6}{5}\\ B=-8+\dfrac{1}{3}+\dfrac{6}{5}\\ B=-\dfrac{133}{15}\)

Answer 2

\(B=-\dfrac{97}{15}\)

Answer 3

B=\(\left(3-\dfrac{1}{4}+\dfrac{2}{3}\right)-\left(5+\dfrac{1}{3}-\dfrac{6}{5}\right)-\left(6-\dfrac{7}{4}+\dfrac{3}{2}\right)\)

=\(3-\dfrac{1}{4}+\dfrac{2}{3}-5-\dfrac{1}{3}+\dfrac{6}{5}-6+\dfrac{7}{4}-\dfrac{3}{2}\)

=\(\left(3-5-6\right)-\left(\dfrac{1}{4}-\dfrac{7}{4}+\dfrac{3}{2}\right)+\left(\dfrac{2}{3}-\dfrac{1}{3}\right)+\left(\dfrac{6}{5}\right)\)

=\(-8-0+\dfrac{1}{3}+\dfrac{6}{5}\)

=\(-\dfrac{97}{15}\)