((1/3 + 1)/(3))/(4)
((1/3 + 1)/(3))/(4) = (1/3 + 1)/(3×4):
(1/3 + 1)/(3×4)
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(3/3 + 1/3)/(3×4)
3/3 + 1/3 = (3 + 1)/3:
((3 + 1)/3)/(3×4)
3 + 1 = 4:
(4/3)/(3×4)
4/(3×3×4) = 4/(3×4×3):
4/(3×4×3)
4/(3×4×3) = 4/4×1/(3×3) = 1/(3×3):
1/(3×3)
3×3 = 9:
Answer: 1/9 gallons of yellow paint
((1/4 + 1)/(4))/(3)
Put 1 + 1/4 over the common denominator 4. 1 + 1/4 = 4/4 + 1/4:
((4/4 + 1/4)/(4))/(3)
4/4 + 1/4 = (4 + 1)/4:
(((4 + 1)/4)/(4))/(3)
4 + 1 = 5:
((5/4)/4)/3
4×4 = 16:
5/(16×3)
16×3 = 48:
Answer: 5/48 Gallons of green paint
(7/3×1/4)/8
(7/3×1/4)/8 = 7/(3×4×8):
7/(3×4×8)
3×4 = 12:
7/(12×8)
12×8 = 96:
Answer: 7/96 Gallons of blue paint
Combine:
1/9 + 5/48 + 7/96
Put 1/9 + 5/48 + 7/96 over the common denominator 288. 1/9 + 5/48 + 7/96 = 32/288 + (6×5)/288 + (3×7)/288:
32/288 + (6×5)/288 + (3×7)/288
6×5 = 30:
32/288 + 30/288 + (3×7)/288
3×7 = 21:
32/288 + 30/288 + 21/288
32/288 + 30/288 + 21/288 = (32 + 30 + 21)/288:
(32 + 30 + 21)/288
| 3 | 2
| 3 | 0
+ | 2 | 1
| 8 | 3:Answer: 83/288 or 0.2881944... Gallons are left over
