Question

Subtract the rational number
from the rational number -3 -​

Answer 1

Step-by-step explanation:

According to the definition of rational numbers, we can represent rational numbers

x

,

y

by two integers each, formally

x

=

a

b

and

y

=

c

d

for some integers

a

,

b

,

c

,

d

∈

Z

with

b

≠

0

and

d

≠

0

. The subtraction of rational numbers, written

x

−

y

, is defined as the addition of the first rational number

x

with the inverse of the second rational number with respect to addition

(

−

y

)

, formally

x

−

y

=

a

b

−

c

d

:=

a

b

+

−

c

d

=

a

d

−

c

b

b

d

=

x

+

(

−

y

)

.