The expression is
According to subtraction property of equality: if , then
.
(Subtract
from each side)
(Commutative property:
)
(Additive inverse property:
)
(Distributive proeprty: a(b + c) = ab + ac)
(Subtract:
)
According to subtraction property of equality: if , then
.
(Subtract
from each side)
(Commutative property:
)
(Additive inverse property:
)
(Subtract:
)
According to Multiplication property of equality: if , then
.
(Multiply each side by negative
)
(Cancel common terms)
(Multiply:
)
(Divide:
)
Check:
\Substitute value on original equation
(Multiply:
)
Find the least common denominator(LCD)
\Multiples of 3:3,6,9,12,15,18....
\Multiples of 12:12,24,36,48,60.....
\The least common multiple of 3 and 12 is 12
\Rewrite each fraction with a common denominator of 12
.
(LCM is 12)
(Add: 8 + 1 = 9 and 5 + 4 = 9)
The value of the expression is .