Question

26/7 + -5/7 . 4/13 + -5/7 . 9/13

Answer 1

=26/7+(-5/7).4/13+9/13

=(20/7+-5/7).(4/13+9/13)

=15/7.13/13

=15/7.1

=15/7

Answer 2

\(\frac{26}{7}+\frac{-5}{7}.\frac{4}{13}+\frac{-5}{7}.\frac{9}{13}\text{ }\)

\(=\frac{26}{7}+\left[\frac{-5}{7}.\left(\frac{4}{14}+\frac{9}{13}\right)\right]\)

\(=\frac{26}{7}+\left[\frac{-5}{7}.\frac{13}{13}\right]\)

\(=\frac{26}{7}+\left[\frac{-5}{7}.1\right]\)

\(=\frac{26}{7}+\frac{-5}{7}\)

\(=\frac{21}{7}\)

\(=3\)

Answer 3

\(-\dfrac{5}{7}\left(\dfrac{4}{13}+\dfrac{9}{13}\right)+\dfrac{26}{7}=-\dfrac{5}{7}+\dfrac{26}{7}=\dfrac{21}{7}=3\)