Question

The numerical expression 3/8 + (-5/7) = -19/56 show that
​

Answer 1

LHS: 3/8 + (-5/7)

=3/8 -5/7

=(3×7-5×8)/7×8

=(21-40)/56

= -19/56= RHS( proved )

Answer 2

Step-by-step explanation:

$\frac{3}{8} + \frac{ - 5}{7} = \frac{ - 19}{56}$

LHS

$lcm \: of \: 8 \: and \: 7 \: is \: 56.$

$\frac{3}{8} \times \frac{7}{7} + \frac{ - 5}{7} \times \frac{8}{8}$

$= \frac{21}{56} + \frac{ - 40}{56}$

$= \frac{21 - 40}{56}$

$= \frac{ - 19}{56}$

LHS = RHS

Hence proved.