Question

multiply the reciprocal of -7/4,2/9and add the additive inverse of -2/5to the product what is the result​

Answer 1

$\huge\mathfrak\red{꧁Answer꧂}$

$\huge\bold{Here:}$

Reciprocal of of the first Number-7/4 is

= -4/7

And Reciprocal of second Number 2/9 is = 9/2

So multiple both the numbers

-4/7 × 9/2 ====> -18/7 ----------------(1)

$\huge\bold{Next:}$

Additive inverse of -2/5 is = 2/5 ----------------(2)

ᴀᴅᴅ ʙᴏᴛʜ ᴛʜᴇ ʀᴇsᴜʟᴛ

(1) And (2)

==> -18/7 + 2/5 [ take L. C .M ]

==> -90/35 + 14/35

==> -90+14/35

==> -76/35

$\huge\mathfrak\pink{Ans=-76/35}$

Answer 2

here:

Reciprocal of of the first Number-7/4 is

= -4/7

And Reciprocal of second Number 2/9 is = 9/2

So multiple both the numbers

-4/7 × 9/2 ====> -18/7 ----------------(1)

Next:

Additive inverse of -2/5 is = 2/5 ----------------(2)

ᴀᴅᴅ ʙᴏᴛʜ ᴛʜᴇ ʀᴇsᴜʟᴛ

(1) And (2)

==> -18/7 + 2/5 [ take L. C .M ]

==> -90/35 + 14/35

==> -90+14/35

==> -76/35