Question

Find reciprocal of :   2/3 - (3/4÷ -9/8)​

Answer 1

Step-by-step explanation:

2/3- (3/4÷ - 9/8)

=2/3 - ( 6-9)/8

= 2/3 - (-3)/8

= 2/3 + 3/8

= (16+9)/24

= 25/24

so the reciprocal is 24/25

Answer 2

Answer:

3/4

Step-by-step explanation:

There is bracket. According to BODMAS rule,

3/4÷-9/8=3/4×8/-9=1/1×2/-3=1×2/-3=2/-3=-2/3

Now we got bracket ans. as 2/-3 or -2/3

Let we take -2/3                                               (2/-3=-2/3)

(2/3)-(-2/3)= (2/3)+(2/3)=4/3                              (x-(-x)=x+x)

We got our answer as 4/3

To find reciprocal of any number x, we divide 1 by that no.

ie, let the no. be x

1÷x=1/x

Same formula will be ionserted here

Let x be 4/3

1÷4/3=(1÷4)×(1÷1/3)=1/4×3=3/4              (1÷1/x=1/1/x=x where x is any non-zero number)