Question

Divide the sum of 13/5 and -12/7 by the product of -31/7 and 1/-2​

Answer 1

Answer:

5/2 or 2.5

Step-by-step explanation:

(a). (13/5)+(-12/7)

=[(13×7)+(12×5)]/35

=(91-60)/35

=31/35

(b) (-31/7)×(1/-2) (-)×(-)=+(+)

= 31/14

(c) (31/35)÷(31/14)

= (35/31)×(31/14). 31/31 will get cancelled and 35/14 will remain

=5/2

=2.5

Answer 2

Answer:

Step-by-step explanation:

(-31/5 + 12/7) ÷ (-31/7 x 1/-2)
LHS:
LCM=35

= (-91+60/35)
= -31/35

RHS:

NOTE- Minus and minus cancel out

=(31/7 x 1/2)

=31/14
.
= -31/35 ÷ 31/14

= -31/35 x 14/31      (Division of fractions is done by keep change flip)

= -1//35 x 14/1    (-31 and 31 cancel out)
= -14/35
= -2/5