Question

4/7+15/4-11/4+3/7-1/2+1/3

Answer 1

\(\dfrac{4}{7}+\dfrac{15}{4}-\dfrac{11}{4}+\dfrac{3}{7}-\dfrac{1}{2}+\dfrac{1}{3}\)

\(=\left(\dfrac{4}{7}+\dfrac{3}{7}\right)+\left(\dfrac{15}{4}-\dfrac{11}{4}\right)+\left(-\dfrac{1}{2}+\dfrac{1}{3}\right)\)

\(=\dfrac{7}{7}+\dfrac{4}{4}-\dfrac{1}{6}=2-\dfrac{1}{6}=\dfrac{11}{6}\)

Answer 2

\(\dfrac{4}{7}+\dfrac{15}{4}-\dfrac{11}{4}+\dfrac{3}{7}-\dfrac{1}{2}+\dfrac{1}{3}\)
\(=\left(\dfrac{4}{7}+\dfrac{3}{7}\right)+\left(\dfrac{15}{4}-\dfrac{11}{4}\right)-\left(\dfrac{1}{2}-\dfrac{1}{3}\right)\)
\(=\dfrac{8}{8}+\dfrac{4}{4}-\left(\dfrac{3}{6}-\dfrac{2}{6}\right)\)
\(=1+1-\dfrac{1}{6}\)
\(=\dfrac{11}{6}\)