In reality your common denominator should be the Least Common Multiple. The LCM is the product of highest occurring primes of the numbers prime factorizations...
4=2*2, and 12=2*2*3. So the LCM is 2*2*3=12 Now that you know what the least common multiple is we can say that:
(3/4)(3/3)+5/12
9/12+5/12
(9+5)/12
14/12
7/6 which should be converted to a mixed number as this is an improper fraction...
(6+1)/6
1+1/6
1 1/6
1 week = 7 days
1 gallon = 16 cups ⇒ 1 cup = 1/16 gallon
1.5 cups = 1.5 · 1/16 gallon = 15 · 1/160 gallon = 3/32 gallon
1.5 cups per day = 3/32 gallons per day = 7 · 3/32 gallons per week
= 21/32 gallons per week
Answer:
Blue line: y = -2
Red line: y = 2/3 x + 2
Perpendicular to red line: y = -3/2x + 2
Parallel to red line: y = 2/3 x + any real number
