Three people are coloring the same piece of 8 1/2 by 14 paper. Abby starts on the left side and painted 1/2 of the paper red. Ben starts on the right side and painted 3/4 of the entire paper green. Cathy starts in the middleand painted 1/3 of the entire paper, evenly on either side of the centre line, using blue color. What fraction of the paper has all three color painted on it?
Is it not clear that the three colors overlap on the(in the) region I have painted yellow? The \(\frac{1}{6}\) of the entire sheet immediately to the left of the midline?
+118608 The easiest way is to to determine what is the smallest common multiple of 2,3, and 4 (the numbers on the bottom)
They all go into 12 so 12 is the magic number
\(\frac{1}{2}=\frac{ \square }{12}\\ \frac{3}{4}=\frac{ \square }{12}\\ \frac{1}{3}=\frac{ \square }{12}\\\)
Now draw it. Divide your rectangle into 12 strips.
Put R in the red strips, G in the green strips and B in the blue strips.
Now answer the question.
