document.write( "Question 1055547: It takes 5/6 gallon of paint to paint a wall. If there is 1/2 gallon of paint, what fraction of the wall can be painted. I know the answer is 3/5 by drawing a diagram but no idea how to get there mathematically. Thanks. Parent of a 6th grader. \n" ); document.write( "
Algebra.Com's Answer #670742 by addingup(3677) You can put this solution on YOUR website! Hello, parent of a 6th grader. Here's how to solve the problem: \n" ); document.write( "The area of the wall is an unknown, let it be x. We know that 5/6 of a gallon covers x. The question, though, is what if we only have 1/2 gallon, how much of x can we then cover. \n" ); document.write( "5/6x = 1/2 divide both sides by 5/6 \n" ); document.write( "x = (1/2)/(5/6) \n" ); document.write( "x = 1/2*6/5 \n" ); document.write( "x = (1*6)/2*5) \n" ); document.write( "x = 6/10 simplify, divide numerator and denominator by 2 \n" ); document.write( "x = 3/5 \n" ); document.write( " |