Answer:
(1/3)q - (4/3) p - 5/9
Step-by-step explanation:
Step one
Write the fractional form of the givens
(1/3)(q + p)
(5/9)(3p + 1)
Step Two
Write out the expression
(1/3)(q + p) - (5/9)(3p + 1) Remove the brackets
(1/3)q + (1/3)p - (5/9)*3p - 5/9 Combine the 2 p terms
(1/3)q + (1/3 - 15/9 )p - 5/9 Reduce 15/9 down to 5/3
(1/3)q + (1/3 - 5/3)p - 5/9 Combine what is inside the brackets
(1/3)q + ( - 4/3)p - 5/9 Bring out the minus sign
(1/3)q - (4/3) p - 5/9 This should be your answer.
