Question

If 1/3 of a gallon of paint covers 2/3 of a wall how many gallons of paint or needed to cover the entire wall

Answer 1

For this case we propose a rule of three:

`\frac {1} {3}` gallon ------------>
`\frac {2} {3}` wall

x -------------------------------------> 1 wall

Where the variable "x" represents the amount of gallons of paint needed to cover the entire wall.

`x = \frac {1 * \frac {1} {3}} {\frac {2} {3}}\\x = \frac {\frac {1} {3}} {\frac {2} {3}}\\x = \frac {3 * 1} {3 * 2}\\x = \frac {3} {6}\\x = \frac {1} {2}`

Thus,
`\frac {1} {2}`of gallon of paint covers the entire wall.

Answer:

`\frac {1} {2}`gallon of paint covers the entire wall.