The expression is .
(Distributive property: a(b + c) = ab + ac)
(Multiply:
)
(Distributive property:
)
(Multiply:
)
(Commutative property of addition: a + b = b + a)
(Distributive property: ab + ac = a(b + c))
Find the least common denominator (LCD).
\Multiples of 3: 3,6,9,12,15.....
\Multiples of 4: 4,8,12,16,20,.....
\The least common multiple of 3 and 4 is 12.
\Rewrite each fraction with a common denominator of 12.
\
(Lcm is 12)
(Add: 20 + 18 = 38)
(Subtract:
)
(Simplify)
The simplified expression is .