If ##1/4## gallon of paint covers ##1/12## of a wall, then how many quarts of paint are needed for the entire wall?

So the entire wall needs 12 quarts

The liquid measure of 1 quart is such that there are 4 of them to 1 gallon.

The question has mixed units so these need to be converted so that there is only 1 measurement type used.

The question requires that the answer be given in quarts. So this is our standardised unit.

There are 4 quarts to 1 gallon so a quart is 1/4 of a gallon. This matches the paint volume given so we can read as:

1 quart of paint covers 1/12 of a wall.

The entire wall is ##12/12##

So we need ##1" quart" xx 12 = 1/12 xx12" of a wall"##

##=> 12" quarts "= 12/12" of a wall"##

So the entire wall needs 12 quarts