The expression is .
Distribute terms using distributive property: .
(Multiply:
)
(Product of two different signs is negative)
Distribute terms using distributive property: .
(Multiply:
)
Apply commutative property of addition: a + b = b + a.
\To add fractions the denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 4: 4, 8, 12, 16,.......
\Multiples of 8: 8, 16, 24, 32......
\The least common multiple of 4 and 8 is 8.
\Rewrite each fraction with a common denominator of 8.
\ and
and
Rewrite fractions using the LCD 8.
\ (Subtract:
)
(Add:
)
(Apply standard division form:
)
The simplified expression is .