Question

Using properties, simplify the following:
(i) 3/5×-2/7+3/7×5/14-3/5×5/14

Answer = -57/245, but how please explain.​

Answer 1

==> 3/5× (-2/7) + (3/7×5/14) - (3/5×5/14)

==> -6 / 35 + 5 / 14( 3/7 - 3/5) [ 5/14 common]

==> -6 / 35 + 5/14 ( 15 - 21 / 35)

==> -6 / 35 + 5/14(-6/35)

==> -6/35 ( 1+ 5/14 ) [ -6 / 35 common]

==> -6 /35 × ( 19 / 14)

==> -114 / 490 [ dividing by 2]

==> -57 / 245